109:@0.917174:0.510692:0.945535:0.510692:0.945535:0.494068:0.917174:0.494068:0.000000:0.000000:0.000000
3. :@0.514157:0.304228:0.532898:0.304228:0.532898:0.287092:0.514157:0.287092:0.000000:0.000000:0.000000
Determina:@0.547400:0.304228:0.630564:0.304228:0.630564:0.287604:0.547400:0.287604:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, en cada caso, la longitud del :@0.630749:0.304228:0.888901:0.304228:0.888901:0.287839:0.630749:0.287839:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
segmento indicado, con la ayuda de una :@0.547400:0.320824:0.888883:0.320824:0.888883:0.304435:0.547400:0.304435:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.884847:0.320824:0.888883:0.320824:0.888883:0.304435:0.884847:0.304435:0.000000
calculadora.:@0.547400:0.337421:0.637033:0.337421:0.637033:0.321032:0.547400:0.321032:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.514157:0.472059:0.517879:0.472059:0.517879:0.454923:0.514157:0.454923:0.000000
A:@0.586340:0.461442:0.595336:0.461442:0.595336:0.446568:0.586340:0.446568:0.000000
c:@0.720175:0.461442:0.727144:0.461442:0.727144:0.446568:0.720175:0.446568:0.000000
b:@0.574898:0.414922:0.583324:0.414922:0.583324:0.400048:0.574898:0.400048:0.000000
a:@0.704360:0.400840:0.712787:0.400840:0.712787:0.385966:0.704360:0.385966:0.000000
B:@0.849101:0.461442:0.857142:0.461442:0.857142:0.446568:0.849101:0.446568:0.000000
C:@0.583458:0.363159:0.592471:0.363159:0.592471:0.348285:0.583458:0.348285:0.000000
a) :@0.547397:0.495779:0.566120:0.495779:0.566120:0.478878:0.547397:0.478878:0.000000:0.000000:0.000000
:@0.580641:0.496318:0.595991:0.496318:0.595991:0.481188:0.580641:0.481188:0.000000
ABC:@0.595991:0.495779:0.624646:0.495779:0.624646:0.479418:0.595991:0.479418:0.000000:0.000000:0.000000
 = 20º,     = 10  ,     = ?:@0.624646:0.495779:0.793535:0.495779:0.793535:0.479390:0.624646:0.479390:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.683209:0.495779:0.692478:0.495779:0.692478:0.479418:0.683209:0.479418:0.000000
u a:@0.733553:0.495779:0.767460:0.495779:0.767460:0.479418:0.733553:0.479418:0.000000:0.000000:0.000000
 :@0.547397:0.552635:0.551212:0.552635:0.551212:0.535735:0.547397:0.535735:0.000000
b) :@0.547397:0.572794:0.567428:0.572794:0.567428:0.555893:0.547397:0.555893:0.000000:0.000000:0.000000
:@0.580641:0.573333:0.595991:0.573333:0.595991:0.558203:0.580641:0.558203:0.000000
ABC:@0.595991:0.572794:0.624646:0.572794:0.624646:0.556432:0.595991:0.556432:0.000000:0.000000:0.000000
 = 20º,     = 10  ,     = ?:@0.624646:0.572794:0.791932:0.572794:0.791932:0.556405:0.624646:0.556405:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.683209:0.572794:0.692478:0.572794:0.692478:0.556432:0.683209:0.556432:0.000000
u c:@0.733553:0.572794:0.765857:0.572794:0.765857:0.556432:0.733553:0.556432:0.000000:0.000000:0.000000
 :@0.547397:0.626082:0.551212:0.626082:0.551212:0.609181:0.547397:0.609181:0.000000
c) :@0.547397:0.646245:0.565032:0.646245:0.565032:0.629345:0.547397:0.629345:0.000000:0.000000:0.000000
:@0.580641:0.646785:0.595991:0.646785:0.595991:0.631654:0.580641:0.631654:0.000000
ACB:@0.595991:0.646245:0.624333:0.646245:0.624333:0.629884:0.595991:0.629884:0.000000:0.000000:0.000000
 = 30º,     = 8  ,     = ?:@0.624333:0.646245:0.782626:0.646245:0.782626:0.629856:0.624333:0.629856:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.682896:0.646245:0.690561:0.646245:0.690561:0.629884:0.682896:0.629884:0.000000
u b:@0.722644:0.646245:0.756551:0.646245:0.756551:0.629884:0.722644:0.629884:0.000000:0.000000:0.000000
 :@0.547397:0.699533:0.551212:0.699533:0.551212:0.682633:0.547397:0.682633:0.000000
d) :@0.547397:0.719697:0.567465:0.719697:0.567465:0.702796:0.547397:0.702796:0.000000:0.000000:0.000000
:@0.580641:0.720236:0.595991:0.720236:0.595991:0.705106:0.580641:0.705106:0.000000
ABC:@0.595991:0.719697:0.624646:0.719697:0.624646:0.703335:0.595991:0.703335:0.000000:0.000000:0.000000
 = 15º,     = 20  ,     = ?:@0.624646:0.719697:0.791932:0.719697:0.791932:0.703308:0.624646:0.703308:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.683209:0.719697:0.692478:0.719697:0.692478:0.703335:0.683209:0.703335:0.000000
u c:@0.733553:0.719697:0.765857:0.719697:0.765857:0.703335:0.733553:0.703335:0.000000:0.000000:0.000000
 :@0.547397:0.772985:0.551212:0.772985:0.551212:0.756084:0.547397:0.756084:0.000000
e) :@0.547397:0.793147:0.566267:0.793147:0.566267:0.776246:0.547397:0.776246:0.000000:0.000000:0.000000
:@0.580641:0.793686:0.595991:0.793686:0.595991:0.778556:0.580641:0.778556:0.000000
ABC:@0.595991:0.793147:0.624646:0.793147:0.624646:0.776786:0.595991:0.776786:0.000000:0.000000:0.000000
 = 15º,     = 20  ,     = ?:@0.624646:0.793147:0.793535:0.793147:0.793535:0.776758:0.624646:0.776758:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.683209:0.793147:0.692478:0.793147:0.692478:0.776786:0.683209:0.776786:0.000000
u b:@0.733553:0.793147:0.767460:0.793147:0.767460:0.776786:0.733553:0.776786:0.000000:0.000000:0.000000
 :@0.547397:0.846435:0.551212:0.846435:0.551212:0.829535:0.547397:0.829535:0.000000
f) :@0.547397:0.866598:0.564222:0.866598:0.564222:0.849698:0.547397:0.849698:0.000000:0.000000:0.000000
:@0.580641:0.867138:0.595991:0.867138:0.595991:0.852008:0.580641:0.852008:0.000000
ACB:@0.595991:0.866598:0.624333:0.866598:0.624333:0.850237:0.595991:0.850237:0.000000:0.000000:0.000000
 = 60º,     = 25  ,     = ?:@0.624333:0.866598:0.793222:0.866598:0.793222:0.850210:0.624333:0.850210:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.682896:0.866598:0.692165:0.866598:0.692165:0.850237:0.682896:0.850237:0.000000
u b:@0.733240:0.866598:0.767147:0.866598:0.767147:0.850237:0.733240:0.850237:0.000000:0.000000:0.000000
 :@0.547397:0.919887:0.551212:0.919887:0.551212:0.902986:0.547397:0.902986:0.000000
1. :@0.120578:0.172018:0.139319:0.172018:0.139319:0.154882:0.120578:0.154882:0.000000:0.000000:0.000000
Encierra:@0.153821:0.172018:0.215830:0.172018:0.215830:0.155394:0.153821:0.155394:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la expresión correcta de acuerdo con :@0.215830:0.172018:0.497908:0.172018:0.497908:0.155629:0.215830:0.155629:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la figura mostrada::@0.153821:0.188614:0.289559:0.188614:0.289559:0.172225:0.153821:0.172225:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.120578:0.309242:0.124300:0.309242:0.124300:0.292106:0.120578:0.292106:0.000000
0:@0.194421:0.300663:0.201426:0.300663:0.201426:0.288344:0.194421:0.288344:0.000000
y:@0.212756:0.133257:0.220284:0.133257:0.220284:0.117845:0.212756:0.117845:0.000000
y:@0.162027:0.220805:0.169554:0.220805:0.169554:0.205394:0.162027:0.205394:0.000000
1:@0.169554:0.220805:0.177884:0.220805:0.177884:0.205624:0.169554:0.205624:0.000000
P:@0.390190:0.212478:0.398845:0.212478:0.398845:0.197067:0.390190:0.197067:0.000000
(x1;  y1):@0.398845:0.212478:0.449830:0.212478:0.449830:0.197297:0.398845:0.197297:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x1:@0.390720:0.306343:0.406373:0.306343:0.406373:0.291162:0.390720:0.291162:0.000000:0.000000
γ:@0.384029:0.287127:0.391045:0.287127:0.391045:0.272702:0.384029:0.272702:0.000000
β:@0.382886:0.234603:0.392257:0.234603:0.392257:0.220178:0.382886:0.220178:0.000000
α:@0.234469:0.287127:0.245240:0.287127:0.245240:0.272702:0.234469:0.272702:0.000000
x:@0.461609:0.301411:0.469136:0.301411:0.469136:0.285999:0.461609:0.285999:0.000000
 :@0.120578:0.332966:0.124614:0.332966:0.124614:0.316577:0.120578:0.316577:0.000000
* El ángulo   es recto   = 90º .:@0.153821:0.332966:0.384812:0.332966:0.384812:0.316577:0.153821:0.316577:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ϒ:@0.237335:0.333644:0.248761:0.333644:0.248761:0.318071:0.237335:0.318071:0.000000
(ϒ:@0.314658:0.333644:0.332219:0.333644:0.332219:0.318071:0.314658:0.318071:0.000000:0.000000
):@0.375469:0.333644:0.381605:0.333644:0.381605:0.318071:0.375469:0.318071:0.000000
a) :@0.153821:0.361622:0.172544:0.361622:0.172544:0.344722:0.153821:0.344722:0.000000:0.000000:0.000000
tan:@0.187065:0.361622:0.211223:0.361622:0.211223:0.345261:0.187065:0.345261:0.000000:0.000000:0.000000
(a):@0.211223:0.362300:0.235124:0.362300:0.235124:0.346727:0.211223:0.346727:0.000000:0.000000:0.000000
 = :@0.235124:0.361622:0.254178:0.361622:0.254178:0.345233:0.235124:0.345233:0.000000:0.000000:0.000000
x:@0.255306:0.353232:0.262769:0.353232:0.262769:0.336871:0.255306:0.336871:0.000000
1 :@0.262769:0.353232:0.275797:0.353232:0.275797:0.336844:0.262769:0.336844:0.000000:0.000000
y:@0.255287:0.374185:0.262769:0.374185:0.262769:0.357824:0.255287:0.357824:0.000000
1:@0.262769:0.374185:0.271762:0.374185:0.271762:0.357796:0.262769:0.357796:0.000000
  :@0.272886:0.361614:0.280957:0.361614:0.280957:0.345225:0.272886:0.345225:0.000000:0.000000
 :@0.301485:0.361614:0.305521:0.361614:0.305521:0.345225:0.301485:0.345225:0.000000
tan:@0.361799:0.361614:0.385958:0.361614:0.385958:0.345252:0.361799:0.345252:0.000000:0.000000:0.000000
(a):@0.385958:0.362291:0.409858:0.362291:0.409858:0.346718:0.385958:0.346718:0.000000:0.000000:0.000000
 = :@0.409858:0.361614:0.428912:0.361614:0.428912:0.345225:0.409858:0.345225:0.000000:0.000000:0.000000
y:@0.430048:0.353232:0.437530:0.353232:0.437530:0.336871:0.430048:0.336871:0.000000
1 :@0.437530:0.353232:0.450558:0.353232:0.450558:0.336844:0.437530:0.336844:0.000000:0.000000
x:@0.430067:0.374185:0.437530:0.374185:0.437530:0.357824:0.430067:0.357824:0.000000
1:@0.437530:0.374185:0.446523:0.374185:0.446523:0.357796:0.437530:0.357796:0.000000
 :@0.447665:0.361614:0.451701:0.361614:0.451701:0.345225:0.447665:0.345225:0.000000
 :@0.153838:0.408609:0.157874:0.408609:0.157874:0.392220:0.153838:0.392220:0.000000
tan:@0.187080:0.408609:0.211239:0.408609:0.211239:0.392248:0.187080:0.392248:0.000000:0.000000:0.000000
(a):@0.211239:0.409287:0.235139:0.409287:0.235139:0.393714:0.211239:0.393714:0.000000:0.000000:0.000000
 = :@0.235139:0.408609:0.254193:0.408609:0.254193:0.392220:0.235139:0.392220:0.000000:0.000000:0.000000
+:@0.296312:0.422270:0.306429:0.422270:0.306429:0.406697:0.296312:0.406697:0.000000
1:@0.297465:0.398606:0.306457:0.398606:0.306457:0.382217:0.297465:0.382217:0.000000
1:@0.279866:0.421592:0.288859:0.421592:0.288859:0.405203:0.279866:0.405203:0.000000
1:@0.318822:0.421592:0.327815:0.421592:0.327815:0.405203:0.318822:0.405203:0.000000
2:@0.286261:0.413930:0.291472:0.413930:0.291472:0.404431:0.286261:0.404431:0.000000
2:@0.325209:0.413930:0.330421:0.413930:0.330421:0.404431:0.325209:0.404431:0.000000
y:@0.289821:0.398606:0.297302:0.398606:0.297302:0.382245:0.289821:0.382245:0.000000
x:@0.272222:0.421592:0.279685:0.421592:0.279685:0.405231:0.272222:0.405231:0.000000
y:@0.311178:0.421592:0.318660:0.421592:0.318660:0.405231:0.311178:0.405231:0.000000
 :@0.337932:0.408612:0.341968:0.408612:0.341968:0.392223:0.337932:0.392223:0.000000
b) :@0.153821:0.465883:0.173852:0.465883:0.173852:0.448982:0.153821:0.448982:0.000000:0.000000:0.000000
sen:@0.187065:0.465883:0.210744:0.465883:0.210744:0.449522:0.187065:0.449522:0.000000:0.000000:0.000000
(a):@0.210744:0.466561:0.234645:0.466561:0.234645:0.450988:0.210744:0.450988:0.000000:0.000000:0.000000
 = :@0.234645:0.465883:0.253699:0.465883:0.253699:0.449494:0.234645:0.449494:0.000000:0.000000:0.000000
+:@0.292441:0.479971:0.301743:0.479971:0.301743:0.464398:0.292441:0.464398:0.000000
+:@0.292441:0.524795:0.301743:0.524795:0.301743:0.509222:0.292441:0.509222:0.000000
1:@0.293491:0.456307:0.301760:0.456307:0.301760:0.439918:0.293491:0.439918:0.000000
1:@0.277310:0.479293:0.285578:0.479293:0.285578:0.462904:0.277310:0.462904:0.000000
1:@0.313129:0.479293:0.321398:0.479293:0.321398:0.462904:0.313129:0.462904:0.000000
1:@0.293491:0.501145:0.301760:0.501145:0.301760:0.484756:0.293491:0.484756:0.000000
1:@0.277310:0.524131:0.285578:0.524131:0.285578:0.507742:0.277310:0.507742:0.000000
1:@0.313129:0.524131:0.321398:0.524131:0.321398:0.507742:0.313129:0.507742:0.000000
1:@0.265805:0.545983:0.274074:0.545983:0.274074:0.529594:0.265805:0.529594:0.000000
1:@0.265805:0.565428:0.274074:0.565428:0.274074:0.549039:0.265805:0.549039:0.000000
2:@0.283198:0.471631:0.287990:0.471631:0.287990:0.462133:0.283198:0.462133:0.000000
2:@0.319011:0.471631:0.323803:0.471631:0.323803:0.462133:0.319011:0.462133:0.000000
2:@0.283198:0.516460:0.287990:0.516460:0.287990:0.506962:0.283198:0.506962:0.000000
2:@0.319011:0.516460:0.323803:0.516460:0.323803:0.506962:0.319011:0.506962:0.000000
x:@0.286472:0.456307:0.293334:0.456307:0.293334:0.439946:0.286472:0.439946:0.000000
x:@0.270290:0.479293:0.277153:0.479293:0.277153:0.462932:0.270290:0.462932:0.000000
y:@0.306110:0.479293:0.312989:0.479293:0.312989:0.462932:0.306110:0.462932:0.000000
y:@0.286472:0.501145:0.293351:0.501145:0.293351:0.484784:0.286472:0.484784:0.000000
x:@0.270290:0.524131:0.277153:0.524131:0.277153:0.507770:0.270290:0.507770:0.000000
y:@0.306110:0.524131:0.312989:0.524131:0.312989:0.507770:0.306110:0.507770:0.000000
x:@0.258786:0.545983:0.265648:0.545983:0.265648:0.529622:0.258786:0.529622:0.000000
y:@0.258786:0.565428:0.265665:0.565428:0.265665:0.549067:0.258786:0.549067:0.000000
    :@0.326910:0.465880:0.343053:0.465880:0.343053:0.449491:0.326910:0.449491:0.000000:0.000000:0.000000:0.000000
sen:@0.343053:0.465880:0.366733:0.465880:0.366733:0.449519:0.343053:0.449519:0.000000:0.000000:0.000000
(a):@0.366733:0.466558:0.390633:0.466558:0.390633:0.450985:0.366733:0.450985:0.000000:0.000000:0.000000
 = :@0.390633:0.465880:0.409687:0.465880:0.409687:0.449491:0.390633:0.449491:0.000000:0.000000:0.000000
+:@0.448627:0.435112:0.457976:0.435112:0.457976:0.419539:0.448627:0.419539:0.000000
+:@0.448627:0.479936:0.457976:0.479936:0.457976:0.464363:0.448627:0.464363:0.000000
1:@0.449682:0.411448:0.457992:0.411448:0.457992:0.395059:0.449682:0.395059:0.000000
1:@0.433420:0.434434:0.441730:0.434434:0.441730:0.418045:0.433420:0.418045:0.000000
1:@0.469419:0.434434:0.477729:0.434434:0.477729:0.418045:0.469419:0.418045:0.000000
1:@0.449682:0.456286:0.457992:0.456286:0.457992:0.439897:0.449682:0.439897:0.000000
1:@0.433420:0.479272:0.441730:0.479272:0.441730:0.462883:0.433420:0.462883:0.000000
1:@0.469419:0.479272:0.477729:0.479272:0.477729:0.462883:0.469419:0.462883:0.000000
1:@0.421857:0.501124:0.430167:0.501124:0.430167:0.484735:0.421857:0.484735:0.000000
1:@0.421857:0.520569:0.430167:0.520569:0.430167:0.504180:0.421857:0.504180:0.000000
2:@0.439339:0.426772:0.444155:0.426772:0.444155:0.417274:0.439339:0.417274:0.000000
2:@0.475331:0.426772:0.480147:0.426772:0.480147:0.417274:0.475331:0.417274:0.000000
2:@0.439339:0.471601:0.444155:0.471601:0.444155:0.462103:0.439339:0.462103:0.000000
2:@0.475331:0.471601:0.480147:0.471601:0.480147:0.462103:0.475331:0.462103:0.000000
x:@0.442628:0.411449:0.449524:0.411449:0.449524:0.395088:0.442628:0.395088:0.000000
x:@0.426365:0.434435:0.433262:0.434435:0.433262:0.418074:0.426365:0.418074:0.000000
y:@0.462364:0.434435:0.469278:0.434435:0.469278:0.418074:0.462364:0.418074:0.000000
y:@0.442628:0.456287:0.449541:0.456287:0.449541:0.439926:0.442628:0.439926:0.000000
x:@0.426365:0.479273:0.433262:0.479273:0.433262:0.462912:0.426365:0.462912:0.000000
y:@0.462364:0.479273:0.469278:0.479273:0.469278:0.462912:0.462364:0.462912:0.000000
x:@0.414803:0.501125:0.421699:0.501125:0.421699:0.484764:0.414803:0.484764:0.000000
y:@0.414803:0.520570:0.421716:0.520570:0.421716:0.504209:0.414803:0.504209:0.000000
 :@0.153820:0.515946:0.157855:0.515946:0.157855:0.499557:0.153820:0.499557:0.000000
sen:@0.187063:0.515946:0.210743:0.515946:0.210743:0.499585:0.187063:0.499585:0.000000:0.000000:0.000000
(a):@0.210743:0.516624:0.234643:0.516624:0.234643:0.501051:0.210743:0.501051:0.000000:0.000000:0.000000
 = :@0.234643:0.515946:0.253697:0.515946:0.253697:0.499557:0.234643:0.499557:0.000000:0.000000:0.000000
+:@0.295833:0.440557:0.305950:0.440557:0.305950:0.424984:0.295833:0.424984:0.000000
+:@0.295833:0.485381:0.305950:0.485381:0.305950:0.469808:0.295833:0.469808:0.000000
1:@0.296976:0.416893:0.305968:0.416893:0.305968:0.400504:0.296976:0.400504:0.000000
1:@0.279377:0.439879:0.288370:0.439879:0.288370:0.423490:0.279377:0.423490:0.000000
1:@0.318333:0.439879:0.327326:0.439879:0.327326:0.423490:0.318333:0.423490:0.000000
1:@0.296976:0.461731:0.305968:0.461731:0.305968:0.445342:0.296976:0.445342:0.000000
1:@0.279377:0.484717:0.288370:0.484717:0.288370:0.468328:0.279377:0.468328:0.000000
1:@0.318333:0.484717:0.327326:0.484717:0.327326:0.468328:0.318333:0.468328:0.000000
1:@0.266883:0.506555:0.275876:0.506555:0.275876:0.490166:0.266883:0.490166:0.000000
1:@0.266883:0.526001:0.275876:0.526001:0.275876:0.509612:0.266883:0.509612:0.000000
2:@0.285783:0.432217:0.290995:0.432217:0.290995:0.422719:0.285783:0.422719:0.000000
2:@0.324732:0.432217:0.329944:0.432217:0.329944:0.422719:0.324732:0.422719:0.000000
2:@0.285783:0.477047:0.290995:0.477047:0.290995:0.467548:0.285783:0.467548:0.000000
2:@0.324732:0.477047:0.329944:0.477047:0.329944:0.467548:0.324732:0.467548:0.000000
x:@0.289342:0.416893:0.296805:0.416893:0.296805:0.400532:0.289342:0.400532:0.000000
x:@0.271743:0.439879:0.279206:0.439879:0.279206:0.423518:0.271743:0.423518:0.000000
y:@0.310699:0.439879:0.318181:0.439879:0.318181:0.423518:0.310699:0.423518:0.000000
y:@0.289342:0.461731:0.296823:0.461731:0.296823:0.445370:0.289342:0.445370:0.000000
x:@0.271743:0.484717:0.279206:0.484717:0.279206:0.468356:0.271743:0.468356:0.000000
y:@0.310699:0.484717:0.318181:0.484717:0.318181:0.468356:0.310699:0.468356:0.000000
x:@0.259241:0.506555:0.266704:0.506555:0.266704:0.490194:0.259241:0.490194:0.000000
y:@0.259241:0.526001:0.266722:0.526001:0.266722:0.509639:0.259241:0.509639:0.000000
c) :@0.153820:0.569248:0.171455:0.569248:0.171455:0.552347:0.153820:0.552347:0.000000:0.000000:0.000000
cos:@0.187063:0.569248:0.210153:0.569248:0.210153:0.552887:0.187063:0.552887:0.000000:0.000000:0.000000
(a):@0.210153:0.569926:0.234054:0.569926:0.234054:0.554353:0.210153:0.554353:0.000000:0.000000:0.000000
 = :@0.234054:0.569248:0.253108:0.569248:0.253108:0.552859:0.234054:0.552859:0.000000:0.000000:0.000000
+:@0.290236:0.583337:0.299151:0.583337:0.299151:0.567764:0.290236:0.567764:0.000000
+:@0.290236:0.628161:0.299151:0.628161:0.299151:0.612588:0.290236:0.612588:0.000000
1:@0.291243:0.559674:0.299167:0.559674:0.299167:0.543285:0.291243:0.543285:0.000000
1:@0.275736:0.582660:0.283660:0.582660:0.283660:0.566271:0.275736:0.566271:0.000000
1:@0.310062:0.582660:0.317986:0.582660:0.317986:0.566271:0.310062:0.566271:0.000000
1:@0.291243:0.604512:0.299167:0.604512:0.299167:0.588123:0.291243:0.588123:0.000000
1:@0.275736:0.627498:0.283660:0.627498:0.283660:0.611109:0.275736:0.611109:0.000000
1:@0.310062:0.627498:0.317986:0.627498:0.317986:0.611109:0.310062:0.611109:0.000000
1:@0.264710:0.649349:0.272634:0.649349:0.272634:0.632961:0.264710:0.632961:0.000000
1:@0.264710:0.668795:0.272634:0.668795:0.272634:0.652406:0.264710:0.652406:0.000000
2:@0.281379:0.574999:0.285971:0.574999:0.285971:0.565501:0.281379:0.565501:0.000000
2:@0.315699:0.574999:0.320291:0.574999:0.320291:0.565501:0.315699:0.565501:0.000000
2:@0.281379:0.619828:0.285971:0.619828:0.285971:0.610330:0.281379:0.610330:0.000000
2:@0.315699:0.619828:0.320291:0.619828:0.320291:0.610330:0.315699:0.610330:0.000000
x:@0.284517:0.559675:0.291093:0.559675:0.291093:0.543314:0.284517:0.543314:0.000000
x:@0.269010:0.582661:0.275586:0.582661:0.275586:0.566300:0.269010:0.566300:0.000000
y:@0.303336:0.582661:0.309929:0.582661:0.309929:0.566300:0.303336:0.566300:0.000000
y:@0.284517:0.604513:0.291109:0.604513:0.291109:0.588152:0.284517:0.588152:0.000000
x:@0.269010:0.627499:0.275586:0.627499:0.275586:0.611138:0.269010:0.611138:0.000000
y:@0.303336:0.627499:0.309929:0.627499:0.309929:0.611138:0.303336:0.611138:0.000000
x:@0.257984:0.649351:0.264561:0.649351:0.264561:0.632989:0.257984:0.632989:0.000000
y:@0.257984:0.668796:0.264577:0.668796:0.264577:0.652435:0.257984:0.652435:0.000000
     :@0.322161:0.569248:0.342339:0.569248:0.342339:0.552859:0.322161:0.552859:0.000000:0.000000:0.000000:0.000000:0.000000
cos:@0.342339:0.569248:0.365429:0.569248:0.365429:0.552887:0.342339:0.552887:0.000000:0.000000:0.000000
(a):@0.365429:0.569926:0.389330:0.569926:0.389330:0.554353:0.365429:0.554353:0.000000:0.000000:0.000000
 = :@0.389330:0.569248:0.408384:0.569248:0.408384:0.552859:0.389330:0.552859:0.000000:0.000000:0.000000
+:@0.444479:0.538478:0.453144:0.538478:0.453144:0.522905:0.444479:0.522905:0.000000
+:@0.444479:0.583302:0.453144:0.583302:0.453144:0.567729:0.444479:0.567729:0.000000
1:@0.445457:0.514814:0.453160:0.514814:0.453160:0.498426:0.445457:0.498426:0.000000
1:@0.430383:0.537800:0.438086:0.537800:0.438086:0.521412:0.430383:0.521412:0.000000
1:@0.463752:0.537800:0.471455:0.537800:0.471455:0.521412:0.463752:0.521412:0.000000
1:@0.445457:0.559652:0.453160:0.559652:0.453160:0.543263:0.445457:0.543263:0.000000
1:@0.430383:0.582638:0.438086:0.582638:0.438086:0.566249:0.430383:0.566249:0.000000
1:@0.463752:0.582638:0.471455:0.582638:0.471455:0.566249:0.463752:0.566249:0.000000
1:@0.419665:0.604490:0.427368:0.604490:0.427368:0.588101:0.419665:0.588101:0.000000
1:@0.419665:0.623936:0.427368:0.623936:0.427368:0.607547:0.419665:0.607547:0.000000
2:@0.435870:0.530139:0.440334:0.530139:0.440334:0.520641:0.435870:0.520641:0.000000
2:@0.469232:0.530139:0.473697:0.530139:0.473697:0.520641:0.469232:0.520641:0.000000
2:@0.435870:0.574969:0.440334:0.574969:0.440334:0.565471:0.435870:0.565471:0.000000
2:@0.469232:0.574969:0.473697:0.574969:0.473697:0.565471:0.469232:0.565471:0.000000
x:@0.438919:0.514816:0.445311:0.514816:0.445311:0.498454:0.438919:0.498454:0.000000
x:@0.423844:0.537802:0.430237:0.537802:0.430237:0.521440:0.423844:0.521440:0.000000
y:@0.457213:0.537802:0.463622:0.537802:0.463622:0.521440:0.457213:0.521440:0.000000
y:@0.438919:0.559654:0.445327:0.559654:0.445327:0.543292:0.438919:0.543292:0.000000
x:@0.423844:0.582640:0.430237:0.582640:0.430237:0.566278:0.423844:0.566278:0.000000
y:@0.457213:0.582640:0.463622:0.582640:0.463622:0.566278:0.457213:0.566278:0.000000
x:@0.413127:0.604491:0.419519:0.604491:0.419519:0.588130:0.413127:0.588130:0.000000
y:@0.413127:0.623937:0.419535:0.623937:0.419535:0.607576:0.413127:0.607576:0.000000
 :@0.153820:0.627925:0.157855:0.627925:0.157855:0.611536:0.153820:0.611536:0.000000
cos:@0.187063:0.627925:0.210153:0.627925:0.210153:0.611564:0.187063:0.611564:0.000000:0.000000:0.000000
(a):@0.210153:0.628603:0.234054:0.628603:0.234054:0.613030:0.210153:0.613030:0.000000:0.000000:0.000000
 = :@0.234054:0.627925:0.253108:0.627925:0.253108:0.611536:0.234054:0.611536:0.000000:0.000000:0.000000
+:@0.295245:0.552536:0.305362:0.552536:0.305362:0.536963:0.295245:0.536963:0.000000
+:@0.295245:0.597360:0.305362:0.597360:0.305362:0.581787:0.295245:0.581787:0.000000
1:@0.296388:0.528872:0.305380:0.528872:0.305380:0.512483:0.296388:0.512483:0.000000
1:@0.278789:0.551858:0.287782:0.551858:0.287782:0.535469:0.278789:0.535469:0.000000
1:@0.317745:0.551858:0.326738:0.551858:0.326738:0.535469:0.317745:0.535469:0.000000
1:@0.296388:0.573710:0.305380:0.573710:0.305380:0.557321:0.296388:0.557321:0.000000
1:@0.278789:0.596696:0.287782:0.596696:0.287782:0.580307:0.278789:0.580307:0.000000
1:@0.317745:0.596696:0.326738:0.596696:0.326738:0.580307:0.317745:0.580307:0.000000
1:@0.266277:0.618548:0.275270:0.618548:0.275270:0.602159:0.266277:0.602159:0.000000
1:@0.266294:0.637983:0.275286:0.637983:0.275286:0.621595:0.266294:0.621595:0.000000
2:@0.285194:0.544196:0.290405:0.544196:0.290405:0.534698:0.285194:0.534698:0.000000
2:@0.324142:0.544196:0.329354:0.544196:0.329354:0.534698:0.324142:0.534698:0.000000
2:@0.285194:0.589026:0.290405:0.589026:0.290405:0.579527:0.285194:0.579527:0.000000
2:@0.324142:0.589026:0.329354:0.589026:0.329354:0.579527:0.324142:0.579527:0.000000
x:@0.288754:0.528874:0.296217:0.528874:0.296217:0.512512:0.288754:0.512512:0.000000
x:@0.271155:0.551860:0.278618:0.551860:0.278618:0.535498:0.271155:0.535498:0.000000
y:@0.310111:0.551860:0.317593:0.551860:0.317593:0.535498:0.310111:0.535498:0.000000
y:@0.288754:0.573711:0.296235:0.573711:0.296235:0.557350:0.288754:0.557350:0.000000
x:@0.271155:0.596697:0.278618:0.596697:0.278618:0.580336:0.271155:0.580336:0.000000
y:@0.310111:0.596697:0.317593:0.596697:0.317593:0.580336:0.310111:0.580336:0.000000
x:@0.258643:0.618549:0.266106:0.618549:0.266106:0.602188:0.258643:0.602188:0.000000
y:@0.258651:0.637983:0.266133:0.637983:0.266133:0.621622:0.258651:0.621622:0.000000
Taller:@0.181714:0.130781:0.242609:0.130781:0.242609:0.096834:0.181714:0.096834:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
I.M.4.6.2. Reconoce y aplica las razones trigonométricas y sus relaciones en la resolución de triángulos rectángulos y en situaciones :@0.262735:0.113525:0.883391:0.113525:0.883391:0.103096:0.262735:0.103096:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
problema de la vida real.:@0.262735:0.124087:0.376694:0.124087:0.376694:0.113657:0.262735:0.113657:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2. :@0.120102:0.675002:0.138843:0.675002:0.138843:0.657866:0.120102:0.657866:0.000000:0.000000:0.000000
De acuerdo con el siguiente triángulo rec- :@0.153346:0.675002:0.497883:0.675002:0.497883:0.658613:0.153346:0.658613:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tángulo y los triángulos notables, :@0.153346:0.691599:0.398652:0.691599:0.398652:0.675210:0.153346:0.675210:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
encuentra:@0.398302:0.691599:0.476472:0.691599:0.476472:0.674974:0.398302:0.674974:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 lo  :@0.476472:0.691599:0.497906:0.691599:0.497906:0.675210:0.476472:0.675210:0.000000:0.000000:0.000000:0.000000:0.000000
siguiente::@0.153346:0.708195:0.224272:0.708195:0.224272:0.691806:0.153346:0.691806:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a)  :@0.154327:0.847203:0.176863:0.847203:0.176863:0.830303:0.154327:0.830303:0.000000:0.000000:0.000000:0.000000
¿Cuál es el valor  de la hipotenusa del :@0.187569:0.847203:0.495854:0.847203:0.495854:0.830814:0.187569:0.830814:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
triángulo?:@0.187569:0.863800:0.261464:0.863800:0.261464:0.847411:0.187569:0.847411:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.154327:0.920656:0.158142:0.920656:0.158142:0.903755:0.154327:0.903755:0.000000
b)  :@0.547203:0.166340:0.571048:0.166340:0.571048:0.149439:0.547203:0.149439:0.000000:0.000000:0.000000:0.000000
¿Cuáles son los valores de las siguientes :@0.580446:0.166340:0.888693:0.166340:0.888693:0.149951:0.580446:0.149951:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
identidades trigonométricas?:@0.580446:0.182936:0.795182:0.182936:0.795182:0.166547:0.580446:0.166547:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.547203:0.213805:0.551238:0.213805:0.551238:0.197416:0.547203:0.197416:0.000000
sen:@0.580446:0.213805:0.604126:0.213805:0.604126:0.197444:0.580446:0.197444:0.000000:0.000000:0.000000
(45º) =  :@0.604126:0.213805:0.657640:0.213805:0.657640:0.197416:0.604126:0.197416:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cos:@0.580446:0.262490:0.603536:0.262490:0.603536:0.246129:0.580446:0.246129:0.000000:0.000000:0.000000
(45º)  =  :@0.603536:0.262490:0.658045:0.262490:0.658045:0.246102:0.603536:0.246102:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C:@0.285715:0.819370:0.294727:0.819370:0.294727:0.804497:0.285715:0.804497:0.000000
45º:@0.345454:0.805188:0.367450:0.805188:0.367450:0.790289:0.345454:0.790289:0.000000:0.000000:0.000000
2 cm:@0.257252:0.777880:0.290288:0.777880:0.290288:0.762981:0.257252:0.762981:0.000000:0.000000:0.000000:0.000000
2 cm:@0.323391:0.819018:0.356427:0.819018:0.356427:0.804119:0.323391:0.804119:0.000000:0.000000:0.000000:0.000000
A:@0.383817:0.819370:0.392813:0.819370:0.392813:0.804497:0.383817:0.804497:0.000000
B:@0.283704:0.732265:0.291746:0.732265:0.291746:0.717391:0.283704:0.717391:0.000000
a:@0.598468:0.530364:0.607738:0.530364:0.607738:0.514002:0.598468:0.514002:0.000000
 = 29,24 :@0.607738:0.530364:0.670005:0.530364:0.670005:0.513975:0.607738:0.513975:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.670005:0.530364:0.679329:0.530364:0.679329:0.514002:0.670005:0.514002:0.000000
c:@0.598468:0.603291:0.606134:0.603291:0.606134:0.586929:0.598468:0.586929:0.000000
 = 27,47 :@0.606134:0.603291:0.668401:0.603291:0.668401:0.586902:0.606134:0.586902:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.668401:0.603291:0.677726:0.603291:0.677726:0.586929:0.668401:0.586929:0.000000
b:@0.598468:0.676066:0.607738:0.676066:0.607738:0.659705:0.598468:0.659705:0.000000
 = 13,86 :@0.607738:0.676066:0.670005:0.676066:0.670005:0.659677:0.607738:0.659677:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.670005:0.676066:0.679329:0.676066:0.679329:0.659705:0.670005:0.659705:0.000000
c:@0.598468:0.750099:0.606134:0.750099:0.606134:0.733738:0.598468:0.733738:0.000000
 = 19,32 :@0.606134:0.750099:0.668401:0.750099:0.668401:0.733711:0.606134:0.733711:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.668401:0.750099:0.677726:0.750099:0.677726:0.733738:0.668401:0.733738:0.000000
b:@0.598468:0.823317:0.607738:0.823317:0.607738:0.806956:0.598468:0.806956:0.000000
 = 5,18 :@0.607738:0.823317:0.661012:0.823317:0.661012:0.806928:0.607738:0.806928:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.661012:0.823317:0.670336:0.823317:0.670336:0.806956:0.661012:0.806956:0.000000
b:@0.598468:0.897351:0.607738:0.897351:0.607738:0.880990:0.598468:0.880990:0.000000
 = 12,5 :@0.607738:0.897351:0.661012:0.897351:0.661012:0.880962:0.607738:0.880962:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.661012:0.897351:0.670336:0.897351:0.670336:0.880990:0.661012:0.880990:0.000000
AB:@0.190554:0.897047:0.209295:0.897047:0.209295:0.880685:0.190554:0.880685:0.000000:0.000000
 = √22 + 22 = 2√2:@0.209295:0.897047:0.333055:0.897047:0.333055:0.880658:0.209295:0.880658:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.705801:0.215283:0.675053:0.215283:0.675053:0.201267:0.705801:0.201267:0.000000
=:@0.745655:0.215283:0.714906:0.215283:0.714906:0.201267:0.745655:0.201267:0.000000
=:@0.705801:0.254747:0.675053:0.254747:0.675053:0.240731:0.705801:0.240731:0.000000
=:@0.745655:0.254747:0.714906:0.254747:0.714906:0.240731:0.745655:0.240731:0.000000
2:@0.682572:0.206611:0.690666:0.206611:0.690666:0.191861:0.682572:0.191861:0.000000
22:@0.672356:0.226303:0.699621:0.226303:0.699621:0.211553:0.672356:0.211553:0.000000:0.000000
1:@0.727103:0.206611:0.735196:0.206611:0.735196:0.191861:0.727103:0.191861:0.000000
2:@0.731398:0.226303:0.739492:0.226303:0.739492:0.211553:0.731398:0.211553:0.000000
2:@0.771252:0.206611:0.779345:0.206611:0.779345:0.191861:0.771252:0.191861:0.000000
2:@0.766259:0.224112:0.774353:0.224112:0.774353:0.209362:0.766259:0.209362:0.000000
2:@0.682572:0.246074:0.690666:0.246074:0.690666:0.231324:0.682572:0.231324:0.000000
22:@0.672356:0.265766:0.699621:0.265766:0.699621:0.251015:0.672356:0.251015:0.000000:0.000000
1:@0.727103:0.246074:0.735196:0.246074:0.735196:0.231324:0.727103:0.231324:0.000000
2:@0.731398:0.265766:0.739492:0.265766:0.739492:0.251015:0.731398:0.251015:0.000000
2:@0.771252:0.246074:0.779345:0.246074:0.779345:0.231324:0.771252:0.231324:0.000000
2:@0.766259:0.263575:0.774353:0.263575:0.774353:0.248825:0.766259:0.248825:0.000000
=:@0.705801:0.223836:0.675053:0.223836:0.675053:0.209821:0.705801:0.209821:0.000000
=:@0.745655:0.223836:0.714906:0.223836:0.714906:0.209821:0.745655:0.209821:0.000000
=:@0.705801:0.263300:0.675053:0.263300:0.675053:0.249285:0.705801:0.249285:0.000000
=:@0.745655:0.263300:0.714906:0.263300:0.714906:0.249285:0.745655:0.249285:0.000000
2:@0.682572:0.215163:0.690666:0.215163:0.690666:0.200413:0.682572:0.200413:0.000000
22:@0.672356:0.234855:0.699621:0.234855:0.699621:0.220105:0.672356:0.220105:0.000000:0.000000
1:@0.727103:0.215163:0.735196:0.215163:0.735196:0.200413:0.727103:0.200413:0.000000
2:@0.731398:0.234855:0.739492:0.234855:0.739492:0.220105:0.731398:0.220105:0.000000
2:@0.771252:0.215163:0.779345:0.215163:0.779345:0.200413:0.771252:0.200413:0.000000
2:@0.766259:0.232664:0.774353:0.232664:0.774353:0.217914:0.766259:0.217914:0.000000
2:@0.682572:0.254627:0.690666:0.254627:0.690666:0.239877:0.682572:0.239877:0.000000
22:@0.672356:0.274319:0.699621:0.274319:0.699621:0.259569:0.672356:0.259569:0.000000:0.000000
1:@0.727103:0.254627:0.735196:0.254627:0.735196:0.239877:0.727103:0.239877:0.000000
2:@0.731398:0.274319:0.739492:0.274319:0.739492:0.259569:0.731398:0.259569:0.000000
2:@0.771252:0.254627:0.779345:0.254627:0.779345:0.239877:0.771252:0.239877:0.000000
2:@0.766259:0.272128:0.774353:0.272128:0.774353:0.257378:0.766259:0.257378:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684192:0.079553:0.268045:0.061505:0.268045:0.061505:0.684192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000