﻿9 9:@0.926219:0.966074:0.935672:0.966074:0.935672:0.949450:0.926219:0.949450:0.000000:0.000000:0.000000
12. :@0.514246:0.089715:0.543214:0.089715:0.543214:0.072579:0.514246:0.072579:0.000000:0.000000:0.000000:0.000000
Resuelve:@0.542735:0.089715:0.613827:0.089715:0.613827:0.072814:0.542735:0.072814:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 las operaciones respetando la jerarquía :@0.613827:0.089715:0.907656:0.089715:0.907656:0.074045:0.613827:0.074045:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de solución.:@0.542735:0.106311:0.631059:0.106311:0.631059:0.090641:0.542735:0.090641:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.542735:0.176306:0.561973:0.176306:0.561973:0.159171:0.542735:0.159171:0.000000:0.000000:0.000000
5:@0.589292:0.148329:0.598284:0.148329:0.598284:0.132659:0.589292:0.132659:0.000000
3:@0.589292:0.167387:0.598284:0.167387:0.598284:0.151717:0.589292:0.151717:0.000000
3:@0.630956:0.148329:0.639949:0.148329:0.639949:0.132659:0.630956:0.132659:0.000000
4:@0.630754:0.167387:0.639746:0.167387:0.639746:0.151717:0.630754:0.151717:0.000000
5:@0.673580:0.148329:0.682572:0.148329:0.682572:0.132659:0.673580:0.132659:0.000000
4:@0.673377:0.167387:0.682370:0.167387:0.682370:0.151717:0.673377:0.151717:0.000000
1:@0.601030:0.184993:0.610023:0.184993:0.610023:0.169323:0.601030:0.169323:0.000000
4:@0.600233:0.204042:0.609225:0.204042:0.609225:0.188373:0.600233:0.188373:0.000000
2:@0.659233:0.184987:0.668225:0.184987:0.668225:0.169317:0.659233:0.169317:0.000000
27:@0.654678:0.204042:0.672460:0.204042:0.672460:0.188373:0.654678:0.188373:0.000000:0.000000
3:@0.587564:0.189701:0.592776:0.189701:0.592776:0.180620:0.587564:0.180620:0.000000
3:@0.630550:0.189701:0.635762:0.189701:0.635762:0.180620:0.630550:0.180620:0.000000
×:@0.603164:0.157769:0.613281:0.157769:0.613281:0.142196:0.603164:0.142196:0.000000
×:@0.645787:0.157769:0.655904:0.157769:0.655904:0.142196:0.645787:0.142196:0.000000
÷−:@0.615621:0.194433:0.651500:0.194433:0.651500:0.178860:0.615621:0.178860:0.000000:0.000000
b) :@0.542740:0.253267:0.563121:0.253267:0.563121:0.236131:0.542740:0.236131:0.000000:0.000000:0.000000
1:@0.591724:0.240719:0.600717:0.240719:0.600717:0.225049:0.591724:0.225049:0.000000
27:@0.586380:0.260054:0.604163:0.260054:0.604163:0.244384:0.586380:0.244384:0.000000:0.000000
3:@0.574553:0.245709:0.579764:0.245709:0.579764:0.236628:0.574553:0.236628:0.000000
1:@0.634024:0.240719:0.643016:0.240719:0.643016:0.225049:0.634024:0.225049:0.000000
9:@0.633084:0.260054:0.642077:0.260054:0.642077:0.244384:0.633084:0.244384:0.000000
+:@0.655487:0.250193:0.665604:0.250193:0.665604:0.232172:0.655487:0.232172:0.000000
2:@0.691034:0.240719:0.700027:0.240719:0.700027:0.225049:0.691034:0.225049:0.000000
5:@0.691237:0.260054:0.700229:0.260054:0.700229:0.244384:0.691237:0.244384:0.000000
3:@0.722760:0.240719:0.731752:0.240719:0.731752:0.225049:0.722760:0.225049:0.000000
5:@0.722760:0.260054:0.731752:0.260054:0.731752:0.244384:0.722760:0.244384:0.000000
2:@0.748411:0.231328:0.753622:0.231328:0.753622:0.222247:0.748411:0.222247:0.000000
4:@0.784795:0.240719:0.793788:0.240719:0.793788:0.225049:0.784795:0.225049:0.000000
9 18:@0.784630:0.260054:0.828698:0.260054:0.828698:0.244384:0.784630:0.244384:0.000000:0.000000:0.000000:0.000000
8:@0.815891:0.240719:0.824884:0.240719:0.824884:0.225049:0.815891:0.225049:0.000000
13. :@0.514246:0.294335:0.543214:0.294335:0.543214:0.277200:0.514246:0.277200:0.000000:0.000000:0.000000:0.000000
Completa:@0.542735:0.294335:0.620149:0.294335:0.620149:0.277435:0.542735:0.277435:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 con una palabra las siguientes afirma-:@0.620149:0.294335:0.903603:0.294335:0.903603:0.278666:0.620149:0.278666:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ciones.:@0.542735:0.310932:0.593300:0.310932:0.593300:0.295262:0.542735:0.295262:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.542735:0.335660:0.561973:0.335660:0.561973:0.318525:0.542735:0.318525:0.000000:0.000000:0.000000
Los ángulos interiores de los :@0.571224:0.335660:0.801291:0.335660:0.801291:0.319991:0.571224:0.319991:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
___________:@0.805935:0.335660:0.903602:0.335660:0.903602:0.319991:0.805935:0.319991:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.903640:0.335660:0.907676:0.335660:0.907676:0.319991:0.903640:0.319991:0.000000
acutángulos son :@0.571224:0.353266:0.696550:0.353266:0.696550:0.337597:0.571224:0.337597:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
___________:@0.696550:0.353266:0.794217:0.353266:0.794217:0.337597:0.696550:0.337597:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 que 90°.:@0.793848:0.353266:0.857239:0.353266:0.857239:0.337597:0.793848:0.337597:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b) :@0.542735:0.377995:0.563116:0.377995:0.563116:0.360859:0.542735:0.360859:0.000000:0.000000:0.000000
Los triángulos rectángulos :@0.571224:0.377995:0.773661:0.377995:0.773661:0.362325:0.571224:0.362325:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
____:@0.776176:0.377995:0.811926:0.377995:0.811926:0.362325:0.776176:0.362325:0.000000:0.000000:0.000000:0.000000
 pueden ser :@0.811557:0.377995:0.907685:0.377995:0.907685:0.362325:0.811557:0.362325:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
isósceles, pero :@0.571224:0.395601:0.680719:0.395601:0.680719:0.379931:0.571224:0.379931:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
____:@0.680719:0.395601:0.716469:0.395601:0.716469:0.379931:0.680719:0.379931:0.000000:0.000000:0.000000:0.000000
 pueden ser equiláteros.:@0.716100:0.395601:0.891454:0.395601:0.891454:0.379931:0.716100:0.379931:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c) :@0.542735:0.419320:0.560554:0.419320:0.560554:0.402184:0.542735:0.402184:0.000000:0.000000:0.000000
Todo triángulo rectángulo tiene un ángulo :@0.571224:0.419320:0.907692:0.419320:0.907692:0.403650:0.571224:0.403650:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de :@0.571224:0.436926:0.594222:0.436926:0.594222:0.421256:0.571224:0.421256:0.000000:0.000000:0.000000
____:@0.594222:0.436926:0.629971:0.436926:0.629971:0.421256:0.594222:0.421256:0.000000:0.000000:0.000000:0.000000
.:@0.629603:0.436926:0.632809:0.436926:0.632809:0.421256:0.629603:0.421256:0.000000
d) :@0.542735:0.461655:0.563226:0.461655:0.563226:0.444519:0.542735:0.444519:0.000000:0.000000:0.000000
Los triángulos :@0.571224:0.461655:0.681974:0.461655:0.681974:0.445985:0.571224:0.445985:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
_____________:@0.686286:0.461655:0.801643:0.461655:0.801643:0.445985:0.686286:0.445985:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 son siempre :@0.801275:0.461655:0.907656:0.461655:0.907656:0.445985:0.801275:0.445985:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
acutángulos.:@0.571224:0.478251:0.664927:0.478251:0.664927:0.462581:0.571224:0.462581:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
e) :@0.542735:0.502979:0.561973:0.502979:0.561973:0.485844:0.542735:0.485844:0.000000:0.000000:0.000000
En un triángulo :@0.571224:0.502979:0.694745:0.502979:0.694745:0.487310:0.571224:0.487310:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
_____________:@0.697951:0.502979:0.813308:0.502979:0.813308:0.487310:0.697951:0.487310:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 uno de los :@0.812939:0.502979:0.907713:0.502979:0.907713:0.487310:0.812939:0.487310:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ángulos exteriores es agudo.:@0.571224:0.519576:0.780521:0.519576:0.780521:0.503906:0.571224:0.503906:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f) :@0.542735:0.544304:0.559854:0.544304:0.559854:0.527169:0.542735:0.527169:0.000000:0.000000:0.000000
En los triángulos :@0.571224:0.544304:0.699149:0.544304:0.699149:0.528635:0.571224:0.528635:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
_____________:@0.700660:0.544304:0.816017:0.544304:0.816017:0.528635:0.700660:0.528635:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la suma de :@0.815648:0.544304:0.907676:0.544304:0.907676:0.528635:0.815648:0.528635:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sus ángulos que no son rectos es siempre 90°.:@0.571224:0.560901:0.903602:0.560901:0.903602:0.545231:0.571224:0.545231:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g) :@0.542735:0.584620:0.563024:0.584620:0.563024:0.567484:0.542735:0.567484:0.000000:0.000000:0.000000
Si el triángulo es escaleno y la suma de dos de :@0.571224:0.584620:0.907694:0.584620:0.907694:0.568950:0.571224:0.568950:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sus ángulos es :@0.571224:0.602226:0.682896:0.602226:0.682896:0.586556:0.571224:0.586556:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
____:@0.683688:0.602226:0.719438:0.602226:0.719438:0.586556:0.683688:0.586556:0.000000:0.000000:0.000000:0.000000
, el ángulo restante mide :@0.719069:0.602226:0.907637:0.602226:0.907637:0.586556:0.719069:0.586556:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
60°.:@0.571224:0.618822:0.597834:0.618822:0.597834:0.603152:0.571224:0.603152:0.000000:0.000000:0.000000:0.000000
14. :@0.514246:0.642541:0.543214:0.642541:0.543214:0.625405:0.514246:0.625405:0.000000:0.000000:0.000000:0.000000
Relaciona:@0.542735:0.642541:0.620168:0.642541:0.620168:0.625641:0.542735:0.625641:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el punto de intersección y sus líneas :@0.620168:0.642541:0.907674:0.642541:0.907674:0.626871:0.620168:0.626871:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
notables. :@0.542735:0.659138:0.613403:0.659138:0.613403:0.643468:0.542735:0.643468:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.514246:0.682857:0.517968:0.682857:0.517968:0.665721:0.514246:0.665721:0.000000
A):@0.542735:0.682857:0.560278:0.682857:0.560278:0.665721:0.542735:0.665721:0.000000:0.000000
 :@0.560278:0.682857:0.564000:0.682857:0.564000:0.665721:0.560278:0.665721:0.000000
alturas   :@0.574559:0.682857:0.638903:0.682857:0.638903:0.667187:0.574559:0.667187:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.695178:0.682857:0.699213:0.682857:0.699213:0.667187:0.695178:0.667187:0.000000
   :@0.755482:0.682857:0.767589:0.682857:0.767589:0.667187:0.755482:0.667187:0.000000:0.000000:0.000000
1. :@0.767589:0.682857:0.786330:0.682857:0.786330:0.665721:0.767589:0.665721:0.000000:0.000000:0.000000
  :@0.786330:0.682857:0.793775:0.682857:0.793775:0.665721:0.786330:0.665721:0.000000:0.000000
baricentro :@0.793775:0.682857:0.873529:0.682857:0.873529:0.667187:0.793775:0.667187:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.514246:0.706575:0.517968:0.706575:0.517968:0.689440:0.514246:0.689440:0.000000
B):@0.542735:0.706575:0.559652:0.706575:0.559652:0.689440:0.542735:0.689440:0.000000:0.000000
 :@0.559652:0.706575:0.563374:0.706575:0.563374:0.689440:0.559652:0.689440:0.000000
medianas :@0.574559:0.706575:0.649984:0.706575:0.649984:0.690906:0.574559:0.690906:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.695178:0.706575:0.699213:0.706575:0.699213:0.690906:0.695178:0.690906:0.000000
   :@0.755482:0.706575:0.767589:0.706575:0.767589:0.690906:0.755482:0.690906:0.000000:0.000000:0.000000
2.:@0.767589:0.706575:0.782607:0.706575:0.782607:0.689440:0.767589:0.689440:0.000000:0.000000
   :@0.782607:0.706575:0.793775:0.706575:0.793775:0.689440:0.782607:0.689440:0.000000:0.000000:0.000000
incentro :@0.793775:0.706575:0.859303:0.706575:0.859303:0.690906:0.793775:0.690906:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.514246:0.730294:0.517968:0.730294:0.517968:0.713159:0.514246:0.713159:0.000000
C):@0.542735:0.730294:0.559652:0.730294:0.559652:0.713159:0.542735:0.713159:0.000000:0.000000
 :@0.559652:0.730294:0.563374:0.730294:0.563374:0.713159:0.559652:0.713159:0.000000
bisectrices :@0.574559:0.730294:0.655991:0.730294:0.655991:0.714625:0.574559:0.714625:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.695179:0.730294:0.699215:0.730294:0.699215:0.714625:0.695179:0.714625:0.000000
   :@0.755482:0.730294:0.767589:0.730294:0.767589:0.714625:0.755482:0.714625:0.000000:0.000000:0.000000
3.:@0.767589:0.730294:0.782607:0.730294:0.782607:0.713159:0.767589:0.713159:0.000000:0.000000
   :@0.782607:0.730294:0.793775:0.730294:0.793775:0.713159:0.782607:0.713159:0.000000:0.000000:0.000000
ortocentro :@0.793775:0.730294:0.876681:0.730294:0.876681:0.714625:0.793775:0.714625:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.514246:0.754013:0.517968:0.754013:0.517968:0.736878:0.514246:0.736878:0.000000
D):@0.542735:0.754013:0.560997:0.754013:0.560997:0.736878:0.542735:0.736878:0.000000:0.000000
 :@0.560997:0.754013:0.564719:0.754013:0.564719:0.736878:0.560997:0.736878:0.000000
mediatrices :@0.574559:0.754013:0.664007:0.754013:0.664007:0.738344:0.574559:0.738344:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.695179:0.754013:0.699215:0.754013:0.699215:0.738344:0.695179:0.738344:0.000000
   :@0.755482:0.754013:0.767589:0.754013:0.767589:0.738344:0.755482:0.738344:0.000000:0.000000:0.000000
4.:@0.767589:0.754013:0.782607:0.754013:0.782607:0.736878:0.767589:0.736878:0.000000:0.000000
 :@0.782607:0.754013:0.786422:0.754013:0.786422:0.737113:0.782607:0.737113:0.000000
  :@0.786422:0.754013:0.793867:0.754013:0.793867:0.736878:0.786422:0.736878:0.000000:0.000000
circuncentro:@0.793867:0.754013:0.886816:0.754013:0.886816:0.738344:0.793867:0.738344:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.542735:0.777732:0.561973:0.777732:0.561973:0.760597:0.542735:0.760597:0.000000:0.000000:0.000000
a1; b2; c3; d4:@0.571224:0.777732:0.665703:0.777732:0.665703:0.762063:0.571224:0.762063:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b) :@0.542735:0.801451:0.563116:0.801451:0.563116:0.784316:0.542735:0.784316:0.000000:0.000000:0.000000
a2; b3; c4; d1:@0.571224:0.801451:0.665703:0.801451:0.665703:0.785782:0.571224:0.785782:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c) :@0.542735:0.825170:0.560554:0.825170:0.560554:0.808035:0.542735:0.808035:0.000000:0.000000:0.000000
a3; b1; c2; d4:@0.571224:0.825170:0.665703:0.825170:0.665703:0.809501:0.571224:0.809501:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d) :@0.542735:0.848889:0.563226:0.848889:0.563226:0.831754:0.542735:0.831754:0.000000:0.000000:0.000000
a4; b1; c2; d3 :@0.571224:0.848889:0.669738:0.848889:0.669738:0.833220:0.571224:0.833220:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
9. :@0.096362:0.089661:0.115103:0.089661:0.115103:0.072525:0.096362:0.072525:0.000000:0.000000:0.000000
El perímetro del rectángulo es 41,6 :@0.124851:0.089661:0.392052:0.089661:0.392052:0.073991:0.124851:0.073991:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cm:@0.393711:0.089661:0.416008:0.089661:0.416008:0.073299:0.393711:0.073299:0.000000:0.000000
. ¿Cuánto :@0.416008:0.089661:0.489755:0.089661:0.489755:0.073991:0.416008:0.073991:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mide el lado que falta?:@0.124851:0.106257:0.290737:0.106257:0.290737:0.090587:0.124851:0.090587:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.124851:0.248267:0.144090:0.248267:0.144090:0.231131:0.124851:0.231131:0.000000:0.000000:0.000000
17 :@0.153341:0.248267:0.175362:0.248267:0.175362:0.232597:0.153341:0.232597:0.000000:0.000000:0.000000
cm:@0.175362:0.248267:0.197659:0.248267:0.197659:0.231905:0.175362:0.231905:0.000000:0.000000
b) :@0.124851:0.271986:0.145232:0.271986:0.145232:0.254850:0.124851:0.254850:0.000000:0.000000:0.000000
8,5 :@0.153341:0.271986:0.178568:0.271986:0.178568:0.256316:0.153341:0.256316:0.000000:0.000000:0.000000:0.000000
cm:@0.178568:0.271986:0.200865:0.271986:0.200865:0.255624:0.178568:0.255624:0.000000:0.000000
c) :@0.124851:0.295705:0.142671:0.295705:0.142671:0.278569:0.124851:0.278569:0.000000:0.000000:0.000000
29,3 :@0.153341:0.295705:0.187561:0.295705:0.187561:0.280035:0.153341:0.280035:0.000000:0.000000:0.000000:0.000000:0.000000
cm:@0.187561:0.295705:0.209858:0.295705:0.209858:0.279343:0.187561:0.279343:0.000000:0.000000
d) :@0.124851:0.319424:0.145343:0.319424:0.145343:0.302288:0.124851:0.302288:0.000000:0.000000:0.000000
3,38 :@0.153341:0.319424:0.187561:0.319424:0.187561:0.303754:0.153341:0.303754:0.000000:0.000000:0.000000:0.000000:0.000000
cm:@0.187561:0.319424:0.209858:0.319424:0.209858:0.303062:0.187561:0.303062:0.000000:0.000000
10. :@0.096362:0.347928:0.125331:0.347928:0.125331:0.330792:0.096362:0.330792:0.000000:0.000000:0.000000:0.000000
¿Cuál es la ecuación que corresponde a la siguien-:@0.124851:0.347928:0.485701:0.347928:0.485701:0.332258:0.124851:0.332258:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
te expresión? :@0.124851:0.364524:0.226054:0.364524:0.226054:0.348855:0.124851:0.348855:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.096362:0.388243:0.100085:0.388243:0.100085:0.371107:0.096362:0.371107:0.000000
La mitad de la suma de 4,5 y otro número es igual :@0.124851:0.388243:0.489774:0.388243:0.489774:0.372573:0.124851:0.372573:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
13,5.:@0.124851:0.404840:0.158242:0.404840:0.158242:0.389170:0.124851:0.389170:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.124851:0.438627:0.144090:0.438627:0.144090:0.421491:0.124851:0.421491:0.000000:0.000000:0.000000
x:@0.245167:0.437436:0.252630:0.437436:0.252630:0.421075:0.245167:0.421075:0.000000
4,513,5:@0.158152:0.428474:0.226353:0.428474:0.226353:0.412805:0.158152:0.412805:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.187371:0.447926:0.196364:0.447926:0.196364:0.432256:0.187371:0.432256:0.000000
+:@0.183550:0.429156:0.193667:0.429156:0.193667:0.413583:0.183550:0.413583:0.000000
=:@0.230301:0.438118:0.240418:0.438118:0.240418:0.422545:0.230301:0.422545:0.000000
b) :@0.124858:0.489829:0.145239:0.489829:0.145239:0.472694:0.124858:0.472694:0.000000:0.000000:0.000000
x:@0.245167:0.488570:0.252630:0.488570:0.252630:0.472208:0.245167:0.472208:0.000000
4,513,5:@0.158152:0.479608:0.226353:0.479608:0.226353:0.463938:0.158152:0.463938:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.187162:0.499060:0.196155:0.499060:0.196155:0.483391:0.187162:0.483391:0.000000
+:@0.183550:0.480289:0.193667:0.480289:0.193667:0.464716:0.183550:0.464716:0.000000
=:@0.230301:0.489251:0.240418:0.489251:0.240418:0.473678:0.230301:0.473678:0.000000
c) :@0.124858:0.540963:0.142678:0.540963:0.142678:0.523827:0.124858:0.523827:0.000000:0.000000:0.000000
x:@0.197895:0.530744:0.205358:0.530744:0.205358:0.514383:0.197895:0.514383:0.000000
4,5:@0.158165:0.530744:0.181605:0.530744:0.181605:0.515075:0.158165:0.515075:0.000000:0.000000:0.000000
2:@0.177635:0.550194:0.186628:0.550194:0.186628:0.534524:0.177635:0.534524:0.000000
13,5:@0.223652:0.539388:0.252282:0.539388:0.252282:0.525143:0.223652:0.525143:0.000000:0.000000:0.000000:0.000000
+:@0.183550:0.531422:0.193667:0.531422:0.193667:0.515849:0.183550:0.515849:0.000000
=:@0.211247:0.540384:0.221364:0.540384:0.221364:0.524811:0.211247:0.524811:0.000000
d) :@0.124858:0.592096:0.145350:0.592096:0.145350:0.574960:0.124858:0.574960:0.000000:0.000000:0.000000
4,54,8:@0.158160:0.581878:0.220593:0.581878:0.220593:0.566208:0.158160:0.566208:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.184703:0.601327:0.193695:0.601327:0.193695:0.585657:0.184703:0.585657:0.000000
13,5:@0.237734:0.590522:0.266372:0.590522:0.266372:0.576276:0.237734:0.576276:0.000000:0.000000:0.000000:0.000000
+:@0.183550:0.582555:0.193667:0.582555:0.193667:0.566982:0.183550:0.566982:0.000000
=:@0.225326:0.591517:0.235442:0.591517:0.235442:0.575944:0.225326:0.575944:0.000000
11. :@0.096351:0.633174:0.125319:0.633174:0.125319:0.616039:0.096351:0.616039:0.000000:0.000000:0.000000:0.000000
Resuelve:@0.124840:0.633174:0.195932:0.633174:0.195932:0.616274:0.124840:0.616274:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 los siguientes ejercicios.:@0.195932:0.633174:0.374088:0.633174:0.374088:0.617505:0.195932:0.617505:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.124840:0.685563:0.144078:0.685563:0.144078:0.668428:0.124840:0.668428:0.000000:0.000000:0.000000
3:@0.155961:0.685560:0.164953:0.685560:0.164953:0.669890:0.155961:0.669890:0.000000
1:@0.168473:0.676598:0.177466:0.676598:0.177466:0.660928:0.168473:0.660928:0.000000
4:@0.167687:0.696051:0.176680:0.696051:0.176680:0.680381:0.167687:0.680381:0.000000
2:@0.194126:0.685560:0.203119:0.685560:0.203119:0.669890:0.194126:0.669890:0.000000
1 11:@0.206122:0.676598:0.251014:0.676601:0.251014:0.660932:0.206122:0.660928:0.000000:0.000000:0.000000:0.000000
5 20:@0.205538:0.696051:0.250072:0.696051:0.250072:0.680381:0.205538:0.680381:0.000000:0.000000:0.000000:0.000000
−:@0.181247:0.686237:0.191363:0.686237:0.191363:0.670664:0.181247:0.670664:0.000000
+:@0.217955:0.686237:0.228071:0.686237:0.228071:0.670664:0.217955:0.670664:0.000000
=:@0.254791:0.686237:0.264908:0.686237:0.264908:0.670664:0.254791:0.670664:0.000000
b) :@0.124840:0.748847:0.145221:0.748847:0.145221:0.731711:0.124840:0.731711:0.000000:0.000000:0.000000
3:@0.161678:0.737010:0.170671:0.737010:0.170671:0.721340:0.161678:0.721340:0.000000
25 18:@0.157274:0.756344:0.207987:0.756344:0.207987:0.740675:0.157274:0.740675:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.195548:0.737010:0.204541:0.737010:0.204541:0.721340:0.195548:0.721340:0.000000
÷:@0.212249:0.746853:0.223285:0.746853:0.223285:0.727194:0.212249:0.727194:0.000000
12 4:@0.236330:0.737010:0.281341:0.737010:0.281341:0.721340:0.236330:0.721340:0.000000:0.000000:0.000000:0.000000
36 3:@0.236736:0.756344:0.281543:0.756344:0.281543:0.740675:0.236736:0.740675:0.000000:0.000000:0.000000:0.000000
=:@0.295853:0.746485:0.305970:0.746485:0.305970:0.728464:0.295853:0.728464:0.000000
c) :@0.124851:0.812141:0.142671:0.812141:0.142671:0.795005:0.124851:0.795005:0.000000:0.000000:0.000000
÷:@0.249932:0.811937:0.260968:0.811937:0.260968:0.794949:0.249932:0.794949:0.000000
=:@0.287730:0.811561:0.297847:0.811561:0.297847:0.795988:0.287730:0.795988:0.000000
×:@0.179833:0.811185:0.189030:0.811185:0.189030:0.797028:0.179833:0.797028:0.000000
×:@0.214912:0.811185:0.224109:0.811185:0.224109:0.797028:0.214912:0.797028:0.000000
54:@0.157426:0.801925:0.175209:0.801925:0.175209:0.786256:0.157426:0.786256:0.000000:0.000000
6:@0.162191:0.821375:0.171184:0.821375:0.171184:0.805705:0.162191:0.805705:0.000000
21 72:@0.194597:0.801925:0.245727:0.801925:0.245727:0.786256:0.194597:0.786256:0.000000:0.000000:0.000000:0.000000:0.000000
63 12:@0.193654:0.821375:0.245360:0.821375:0.245360:0.805705:0.193654:0.805705:0.000000:0.000000:0.000000:0.000000:0.000000
30:@0.265218:0.801925:0.283001:0.801925:0.283001:0.786256:0.265218:0.786256:0.000000:0.000000
1:@0.270559:0.821375:0.279551:0.821375:0.279551:0.805705:0.270559:0.805705:0.000000
d) :@0.124851:0.889470:0.145343:0.889470:0.145343:0.872334:0.124851:0.872334:0.000000:0.000000:0.000000
1:@0.160983:0.888213:0.169976:0.888213:0.169976:0.872543:0.160983:0.872543:0.000000
1:@0.183912:0.879334:0.192905:0.879334:0.192905:0.863664:0.183912:0.863664:0.000000
3:@0.183341:0.898668:0.192333:0.898668:0.192333:0.882999:0.183341:0.882999:0.000000
÷:@0.205323:0.889176:0.216360:0.889176:0.216360:0.869517:0.205323:0.869517:0.000000
2:@0.228358:0.888213:0.237350:0.888213:0.237350:0.872543:0.228358:0.872543:0.000000
1:@0.257413:0.864089:0.266406:0.864089:0.266406:0.848419:0.257413:0.848419:0.000000
4:@0.256621:0.883064:0.265613:0.883064:0.265613:0.867394:0.256621:0.867394:0.000000
1:@0.281285:0.872811:0.290278:0.872811:0.290278:0.857141:0.281285:0.857141:0.000000
2:@0.253441:0.905035:0.262434:0.905035:0.262434:0.889366:0.253441:0.889366:0.000000
+:@0.264479:0.905630:0.274596:0.905630:0.274596:0.887609:0.264479:0.887609:0.000000
1:@0.279092:0.896309:0.288085:0.896309:0.288085:0.880639:0.279092:0.880639:0.000000
5:@0.278511:0.915284:0.287504:0.915284:0.287504:0.899615:0.278511:0.899615:0.000000
=:@0.302331:0.888807:0.312448:0.888807:0.312448:0.870787:0.302331:0.870787:0.000000
12,3 :@0.274452:0.134071:0.302450:0.134071:0.302450:0.121250:0.274452:0.121250:0.000000:0.000000:0.000000:0.000000:0.000000
cm:@0.302450:0.134071:0.320694:0.134071:0.320694:0.120685:0.302450:0.120685:0.000000:0.000000
x:@0.189693:0.180591:0.197156:0.180591:0.197156:0.164230:0.189693:0.164230:0.000000
5:@0.748669:0.163034:0.754187:0.163034:0.754187:0.153418:0.748669:0.153418:0.000000
6:@0.748563:0.176162:0.754082:0.176162:0.754082:0.166547:0.748563:0.166547:0.000000
−:@0.739304:0.169751:0.746133:0.169751:0.746133:0.159239:0.739304:0.159239:0.000000
4:@0.866041:0.239848:0.871559:0.239848:0.871559:0.230233:0.866041:0.230233:0.000000
3:@0.866147:0.252976:0.871665:0.252976:0.871665:0.243360:0.866147:0.243360:0.000000
−:@0.856571:0.246564:0.863400:0.246564:0.863400:0.236053:0.856571:0.236053:0.000000
triángulos:@0.832948:0.332726:0.879879:0.332726:0.879879:0.322754:0.832948:0.322754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
menores:@0.728393:0.351252:0.769601:0.351252:0.769601:0.341281:0.728393:0.341281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
equiláteros:@0.723140:0.459779:0.774854:0.459779:0.774854:0.449807:0.723140:0.449807:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
obtusángulo:@0.728030:0.500941:0.787906:0.500941:0.787906:0.490970:0.728030:0.490970:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rectángulos:@0.730317:0.542104:0.785631:0.542104:0.785631:0.532133:0.730317:0.532133:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sí:@0.793652:0.374769:0.800477:0.374769:0.800477:0.364797:0.793652:0.364797:0.000000:0.000000
no:@0.691841:0.393850:0.704365:0.393850:0.704365:0.383878:0.691841:0.383878:0.000000:0.000000
90°:@0.607609:0.435549:0.622501:0.435549:0.622501:0.425578:0.607609:0.425578:0.000000:0.000000:0.000000
120°:@0.694316:0.600209:0.714931:0.600209:0.714931:0.590237:0.694316:0.590237:0.000000:0.000000:0.000000:0.000000
3:@0.340175:0.737074:0.345693:0.737074:0.345693:0.727459:0.340175:0.727459:0.000000
40:@0.337495:0.750204:0.348419:0.750204:0.348419:0.740588:0.337495:0.740588:0.000000:0.000000
3:@0.340421:0.802222:0.345940:0.802222:0.345940:0.792606:0.340421:0.792606:0.000000
5:@0.340421:0.815349:0.345940:0.815349:0.345940:0.805734:0.340421:0.805734:0.000000
88:@0.337454:0.880864:0.348378:0.880864:0.348378:0.871249:0.337454:0.871249:0.000000:0.000000
309:@0.334767:0.894046:0.351096:0.894046:0.351096:0.884430:0.334767:0.884430:0.000000:0.000000:0.000000
1:@0.337029:0.680092:0.342547:0.680092:0.342547:0.670477:0.337029:0.670477:0.000000
3:@0.342615:0.674050:0.348133:0.674050:0.348133:0.664434:0.342615:0.664434:0.000000
5:@0.342612:0.687173:0.348131:0.687173:0.348131:0.677558:0.342612:0.677558:0.000000
b:@0.252232:0.316187:0.258705:0.316187:0.258705:0.306216:0.252232:0.306216:0.000000
c:@0.301437:0.587763:0.306667:0.587763:0.306667:0.577791:0.301437:0.577791:0.000000
c:@0.701797:0.845908:0.707027:0.845908:0.707027:0.835937:0.701797:0.835937:0.000000
 ©:@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 :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000