﻿187:@0.890754:0.963104:0.932133:0.963104:0.932133:0.941283:0.890754:0.941283:0.000000:0.000000:0.000000
Matemática:@0.795130:0.956142:0.879896:0.956142:0.879896:0.943479:0.795130:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
8.º EGB:@0.829358:0.967458:0.879897:0.967458:0.879897:0.954794:0.829358:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.675014:0.141850:0.683360:0.141850:0.683360:0.127330:0.675014:0.127330:0.000000
A:@0.564047:0.252254:0.573181:0.252254:0.573181:0.237734:0.564047:0.237734:0.000000
C:@0.718435:0.252254:0.727361:0.252254:0.727361:0.237734:0.718435:0.237734:0.000000
3:@0.658931:0.207028:0.667181:0.207028:0.667181:0.192520:0.658931:0.192520:0.000000
6:@0.606938:0.197420:0.615188:0.197420:0.615188:0.182912:0.606938:0.182912:0.000000
4:@0.639794:0.257227:0.648044:0.257227:0.648044:0.242719:0.639794:0.242719:0.000000
4,5:@0.703350:0.197420:0.723180:0.197420:0.723180:0.182912:0.703350:0.182912:0.000000:0.000000:0.000000
N:@0.607235:0.294190:0.617018:0.294190:0.617018:0.280213:0.607235:0.280213:0.000000
M:@0.559247:0.400460:0.571321:0.400460:0.571321:0.386484:0.559247:0.386484:0.000000
O:@0.716633:0.400460:0.726973:0.400460:0.726973:0.386484:0.716633:0.386484:0.000000
8 :@0.562544:0.340662:0.573767:0.340662:0.573767:0.326697:0.562544:0.326697:0.000000:0.000000
cm:@0.573767:0.340662:0.592823:0.340662:0.592823:0.326686:0.573767:0.326686:0.000000:0.000000
7 :@0.621879:0.353105:0.633102:0.353105:0.633102:0.339140:0.621879:0.339140:0.000000:0.000000
cm:@0.633102:0.353105:0.652158:0.353105:0.652158:0.339129:0.633102:0.339129:0.000000:0.000000
6 :@0.640424:0.406723:0.651647:0.406723:0.651647:0.392758:0.640424:0.392758:0.000000:0.000000
cm:@0.651647:0.406723:0.670703:0.406723:0.670703:0.392746:0.651647:0.392746:0.000000:0.000000
9 :@0.663939:0.340662:0.675161:0.340662:0.675161:0.326697:0.663939:0.326697:0.000000:0.000000
cm:@0.675161:0.340662:0.694217:0.340662:0.694217:0.326686:0.675161:0.326686:0.000000:0.000000
6. :@0.090423:0.100668:0.108464:0.100668:0.108464:0.083768:0.090423:0.083768:0.000000:0.000000:0.000000
En cada caso, :@0.118912:0.100668:0.220596:0.100668:0.220596:0.084279:0.118912:0.084279:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
halla:@0.220596:0.100668:0.259331:0.100668:0.259331:0.083768:0.220596:0.083768:0.000000:0.000000:0.000000:0.000000:0.000000
 los valores de   y  .:@0.259331:0.100668:0.400798:0.100668:0.400798:0.084279:0.259331:0.084279:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.366467:0.100668:0.397592:0.100668:0.397592:0.084307:0.366467:0.084307:0.000000:0.000000:0.000000
a) :@0.118912:0.130514:0.137635:0.130514:0.137635:0.113613:0.118912:0.113613:0.000000:0.000000:0.000000
El triángulo :@0.147402:0.130514:0.234786:0.130514:0.234786:0.114125:0.147402:0.114125:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ABC:@0.234786:0.130514:0.263441:0.130514:0.263441:0.114153:0.234786:0.114153:0.000000:0.000000:0.000000
 con :@0.263441:0.130514:0.299411:0.130514:0.299411:0.114125:0.263441:0.114125:0.000000:0.000000:0.000000:0.000000:0.000000
a) El triÆngulo :@0.130974:0.130471:0.235625:0.130471:0.235625:0.114082:0.130974:0.114082:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 con:@0.266399:0.130471:0.298279:0.130471:0.298279:0.114082:0.266399:0.114082:0.000000:0.000000:0.000000:0.000000
y :@0.367026:0.130471:0.379114:0.130471:0.379114:0.114082:0.367026:0.114082:0.000000:0.000000
ABC:@0.235625:0.130471:0.264225:0.130471:0.264225:0.114110:0.235625:0.114110:0.000000:0.000000:0.000000
ABACm DBA:@0.304102:0.130471:0.437078:0.130471:0.437078:0.114110:0.304102:0.114110:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
≅:@0.326663:0.130056:0.336779:0.130056:0.336779:0.113114:0.326663:0.113114:0.000000
=:@0.440214:0.130056:0.450330:0.130056:0.450330:0.113114:0.440214:0.113114:0.000000
°:@0.478796:0.130056:0.486167:0.130056:0.486167:0.113114:0.478796:0.113114:0.000000
:@0.392684:0.131343:0.406836:0.131343:0.406836:0.114594:0.392684:0.114594:0.000000
125:@0.452094:0.130471:0.478888:0.130471:0.478888:0.114082:0.452094:0.114082:0.000000:0.000000:0.000000
b) :@0.118916:0.370960:0.138947:0.370960:0.138947:0.354060:0.118916:0.354060:0.000000:0.000000:0.000000
El triángulo :@0.147405:0.370960:0.235349:0.370960:0.235349:0.354571:0.147405:0.354571:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ABC:@0.235920:0.370960:0.264575:0.370960:0.264575:0.354599:0.235920:0.354599:0.000000:0.000000:0.000000
 con :@0.264575:0.370960:0.301106:0.370960:0.301106:0.354571:0.264575:0.354571:0.000000:0.000000:0.000000:0.000000:0.000000
b) El triÆngulo :@0.132645:0.370332:0.239009:0.370332:0.239009:0.353943:0.132645:0.353943:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 con:@0.269783:0.370332:0.301663:0.370332:0.301663:0.353943:0.269783:0.353943:0.000000:0.000000:0.000000:0.000000
; el triÆngulo :@0.365791:0.370332:0.460675:0.370332:0.460675:0.353943:0.365791:0.353943:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 con :@0.493181:0.370332:0.529152:0.370332:0.529152:0.353943:0.493181:0.353943:0.000000:0.000000:0.000000:0.000000:0.000000
 yy :@0.194727:0.393746:0.210845:0.393749:0.210845:0.377360:0.194727:0.377358:0.000000:0.000000:0.000000:0.000000
ABC:@0.239009:0.370332:0.267609:0.370332:0.267609:0.353970:0.239009:0.353970:0.000000:0.000000:0.000000
ABAC:@0.307486:0.370332:0.364215:0.370332:0.364215:0.353970:0.307486:0.353970:0.000000:0.000000:0.000000:0.000000
BDC:@0.460683:0.370332:0.491015:0.370332:0.491015:0.353970:0.460683:0.353970:0.000000:0.000000:0.000000
BD DC mD:@0.133224:0.393746:0.250022:0.393749:0.250022:0.377388:0.133224:0.377385:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
≅:@0.330062:0.369917:0.340178:0.369917:0.340178:0.352975:0.330062:0.352975:0.000000
≅:@0.157773:0.393334:0.167890:0.393334:0.167890:0.376392:0.157773:0.376392:0.000000
:@0.224408:0.394620:0.238560:0.394620:0.238560:0.377872:0.224408:0.377872:0.000000
=:@0.254150:0.393334:0.264267:0.393334:0.264267:0.376392:0.254150:0.376392:0.000000
°:@0.284979:0.393334:0.292350:0.393334:0.292350:0.376392:0.284979:0.376392:0.000000
90:@0.267178:0.393749:0.285071:0.393749:0.285071:0.377360:0.267178:0.377360:0.000000:0.000000
 el triángulo BDC :@0.373573:0.370960:0.502848:0.370960:0.502848:0.354571:0.373573:0.354571:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con :@0.147410:0.389728:0.179345:0.389728:0.179345:0.373339:0.147410:0.373339:0.000000:0.000000:0.000000:0.000000
b) El triÆngulo :@0.180211:0.367171:0.286576:0.367171:0.286576:0.350782:0.180211:0.350782:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 con:@0.317350:0.367171:0.349230:0.367171:0.349230:0.350782:0.317350:0.350782:0.000000:0.000000:0.000000:0.000000
; el triÆngulo :@0.413358:0.367171:0.508242:0.367171:0.508242:0.350782:0.413358:0.350782:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 con :@0.540748:0.367171:0.576719:0.367171:0.576719:0.350782:0.540748:0.350782:0.000000:0.000000:0.000000:0.000000:0.000000
 yy :@0.242301:0.390588:0.258412:0.390588:0.258412:0.374199:0.242301:0.374199:0.000000:0.000000:0.000000:0.000000
ABC:@0.286589:0.367171:0.315189:0.367171:0.315189:0.350810:0.286589:0.350810:0.000000:0.000000:0.000000
ABAC:@0.355066:0.367171:0.411786:0.367171:0.411786:0.350810:0.355066:0.350810:0.000000:0.000000:0.000000:0.000000
BDC:@0.508255:0.367171:0.538587:0.367171:0.538587:0.350810:0.508255:0.350810:0.000000:0.000000:0.000000
BD DC mD:@0.180788:0.390588:0.297589:0.390588:0.297589:0.374227:0.180788:0.374227:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
≅:@0.377628:0.366756:0.387745:0.366756:0.387745:0.349814:0.377628:0.349814:0.000000
≅:@0.205340:0.390173:0.215457:0.390173:0.215457:0.373231:0.205340:0.373231:0.000000
:@0.271983:0.391459:0.286135:0.391459:0.286135:0.374711:0.271983:0.374711:0.000000
=:@0.301725:0.390173:0.311842:0.390173:0.311842:0.373231:0.301725:0.373231:0.000000
°:@0.332554:0.390173:0.339925:0.390173:0.339925:0.373231:0.332554:0.373231:0.000000
90:@0.314753:0.390588:0.332646:0.390588:0.332646:0.374199:0.314753:0.374199:0.000000:0.000000
c) :@0.118915:0.687195:0.136551:0.687195:0.136551:0.670295:0.118915:0.670295:0.000000:0.000000:0.000000
El triángulo ABC con :@0.147405:0.687195:0.308083:0.687195:0.308083:0.670807:0.147405:0.670807:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c) El triÆngulo :@0.141869:0.687536:0.246519:0.687536:0.246519:0.671147:0.141869:0.671147:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 con:@0.277293:0.687536:0.309173:0.687536:0.309173:0.671147:0.277293:0.671147:0.000000:0.000000:0.000000:0.000000
; :@0.373301:0.687536:0.380488:0.687536:0.380488:0.671147:0.373301:0.671147:0.000000:0.000000
ABC:@0.246519:0.687536:0.275119:0.687536:0.275119:0.671175:0.246519:0.671175:0.000000:0.000000:0.000000
ABAC BD:@0.314996:0.687536:0.402601:0.687195:0.402601:0.670834:0.314996:0.671175:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
≅:@0.337558:0.687121:0.347675:0.687121:0.347675:0.670179:0.337558:0.670179:0.000000
 bisectriz del :@0.402601:0.687195:0.502847:0.687195:0.502847:0.670807:0.402601:0.670807:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ángulo   y :@0.147415:0.703792:0.228239:0.703792:0.228239:0.687403:0.147415:0.687403:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B CD:@0.203214:0.703792:0.249689:0.703792:0.249689:0.687431:0.203214:0.687431:0.000000:0.000000:0.000000:0.000000
 bisectriz del ángulo  .:@0.249689:0.703792:0.414375:0.703792:0.414375:0.687403:0.249689:0.687403:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C:@0.401254:0.703792:0.411168:0.703792:0.411168:0.687431:0.401254:0.687431:0.000000
:@0.312460:0.157080:0.323403:0.157080:0.323403:0.140163:0.312460:0.140163:0.000000
:@0.172845:0.260852:0.185309:0.260852:0.185309:0.243935:0.172845:0.243935:0.000000
:@0.395050:0.258827:0.405742:0.258827:0.405742:0.241910:0.395050:0.241910:0.000000
:@0.228964:0.261517:0.238963:0.261517:0.238963:0.244600:0.228964:0.244600:0.000000
:@0.309694:0.185302:0.318190:0.185302:0.318190:0.168385:0.309694:0.168385:0.000000
:@0.370746:0.243254:0.378741:0.243254:0.378741:0.226337:0.370746:0.226337:0.000000
:@0.199034:0.244685:0.234810:0.244685:0.234810:0.227754:0.199034:0.227754:0.000000:0.000000:0.000000:0.000000
:@0.271262:0.416406:0.281729:0.416406:0.281729:0.400224:0.271262:0.400224:0.000000
:@0.292307:0.576242:0.304229:0.576242:0.304229:0.560061:0.292307:0.560061:0.000000
:@0.365722:0.520811:0.375950:0.520811:0.375950:0.504629:0.365722:0.504629:0.000000
:@0.203430:0.520161:0.212994:0.520161:0.212994:0.503979:0.203430:0.503979:0.000000
:@0.255746:0.503979:0.263873:0.503979:0.263873:0.487798:0.255746:0.487798:0.000000
:@0.334746:0.523314:0.342393:0.523314:0.342393:0.507132:0.334746:0.507132:0.000000
7.  Calcula:@0.518995:0.100668:0.605107:0.100668:0.605107:0.083768:0.518995:0.083768:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el área y el perímetro de los siguientes :@0.605107:0.100668:0.931441:0.100668:0.931441:0.084279:0.605107:0.084279:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  triángulos: :@0.547484:0.117265:0.628474:0.117265:0.628474:0.100876:0.547484:0.100876:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.547484:0.144552:0.566207:0.144552:0.566207:0.127651:0.547484:0.127651:0.000000:0.000000:0.000000
b) :@0.547484:0.293020:0.567515:0.293020:0.567515:0.276120:0.547484:0.276120:0.000000:0.000000:0.000000
 :@0.575973:0.293020:0.580009:0.293020:0.580009:0.276631:0.575973:0.276631:0.000000
:@0.312108:0.737122:0.323051:0.737122:0.323051:0.720205:0.312108:0.720205:0.000000
:@0.315923:0.795579:0.328387:0.795579:0.328387:0.778662:0.315923:0.778662:0.000000
:@0.315923:0.830194:0.320411:0.830194:0.320411:0.813277:0.315923:0.813277:0.000000
:@0.427025:0.840214:0.437718:0.840214:0.437718:0.823297:0.427025:0.823297:0.000000
:@0.202816:0.840041:0.212815:0.840041:0.212815:0.823124:0.202816:0.823124:0.000000
:@0.314747:0.809214:0.323243:0.809214:0.323243:0.792297:0.314747:0.792297:0.000000
:@0.253927:0.815533:0.262423:0.815533:0.262423:0.798616:0.253927:0.798616:0.000000
:@0.305018:0.764291:0.330911:0.764291:0.330911:0.747359:0.305018:0.747359:0.000000:0.000000:0.000000
Actividad cooperativa:@0.520181:0.460371:0.713429:0.460371:0.713429:0.442355:0.520181:0.442355:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
8.:@0.520181:0.480373:0.534407:0.480373:0.534407:0.463473:0.520181:0.463473:0.000000:0.000000
  En  parejas :@0.534407:0.480373:0.638385:0.480373:0.638385:0.463984:0.534407:0.463984:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resuelvan:@0.649672:0.480373:0.727140:0.480373:0.727140:0.463473:0.649672:0.463473:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el siguiente problema. :@0.727140:0.480373:0.932625:0.480373:0.932625:0.463984:0.727140:0.463984:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Realicen:@0.548670:0.496970:0.615692:0.496970:0.615692:0.480069:0.548670:0.480069:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 un esquema de las situaciones.:@0.615692:0.496970:0.846752:0.496970:0.846752:0.480581:0.615692:0.480581:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.548670:0.531379:0.567393:0.531379:0.567393:0.514479:0.548670:0.514479:0.000000:0.000000:0.000000
Brenda quiere cercar y colocar césped en la mi­:@0.577159:0.531379:0.928600:0.531379:0.928600:0.514990:0.577159:0.514990:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tad  de su terreno cuadrangular. Para ello, traza :@0.577159:0.547976:0.932551:0.547976:0.932551:0.531587:0.577159:0.531587:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una diagonal que divide su terreno en dos par­:@0.577159:0.564572:0.928556:0.564572:0.928556:0.548183:0.577159:0.548183:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tes. Si el pe rímetro del cuadrado es 56 m y su :@0.577159:0.581169:0.932592:0.581169:0.932592:0.564780:0.577159:0.564780:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
diagonal mide 19,8 m, ¿cuánto alambre necesita :@0.577159:0.597765:0.932627:0.597765:0.932627:0.581376:0.577159:0.581376:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para  cercarlo?,  ¿cuántos  metros  cuadrados  de :@0.577159:0.614361:0.932601:0.614361:0.932601:0.597972:0.577159:0.597972:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
césped necesita?:@0.577159:0.630958:0.702136:0.630958:0.702136:0.614569:0.577159:0.614569:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si tuvieran que escoger entre un césped artifi­:@0.577159:0.654677:0.928591:0.654677:0.928591:0.638288:0.577159:0.638288:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cial o uno natural, ¿cuál sería tu elección? :@0.577159:0.671273:0.880886:0.671273:0.880886:0.654884:0.577159:0.654884:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dialo-:@0.880626:0.671273:0.928556:0.671273:0.928556:0.654372:0.880626:0.654372:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
guen:@0.577159:0.687869:0.618253:0.687869:0.618253:0.670969:0.577159:0.670969:0.000000:0.000000:0.000000:0.000000
 sobre el tema y :@0.618253:0.687869:0.738381:0.687869:0.738381:0.671480:0.618253:0.671480:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
justifiquen:@0.738381:0.687869:0.824549:0.687869:0.824549:0.670969:0.738381:0.670969:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 su respuesta.:@0.824549:0.687869:0.923358:0.687869:0.923358:0.671480:0.824549:0.671480:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b) :@0.548670:0.722279:0.568701:0.722279:0.568701:0.705379:0.548670:0.705379:0.000000:0.000000:0.000000
En un triángulo ABC, se sabe que el ángulo A es :@0.577159:0.722279:0.932629:0.722279:0.932629:0.705890:0.577159:0.705890:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de 45° y el ángulo B es de 60°. :@0.577159:0.738876:0.810158:0.738876:0.810158:0.722487:0.577159:0.722487:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Calcula:@0.811522:0.738876:0.869145:0.738876:0.869145:0.721975:0.811522:0.721975:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el valor :@0.869145:0.738876:0.932665:0.738876:0.932665:0.722487:0.869145:0.722487:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del ángulo externo del triángulo.:@0.577159:0.755472:0.817395:0.755472:0.817395:0.739083:0.577159:0.739083:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Indaguemos:@0.520181:0.800287:0.628587:0.800287:0.628587:0.782271:0.520181:0.782271:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
9. Investiga:@0.520181:0.820291:0.621312:0.820291:0.621312:0.803390:0.520181:0.803390:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.534407:0.820291:0.538443:0.820291:0.538443:0.803902:0.534407:0.803902:0.000000
 los polígonos regulares y su construcción :@0.621312:0.820291:0.932647:0.820291:0.932647:0.803902:0.621312:0.803902:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mediante triángulos. :@0.548670:0.836887:0.715070:0.836887:0.715070:0.820498:0.548670:0.820498:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Traza:@0.725979:0.836887:0.768142:0.836887:0.768142:0.819987:0.725979:0.819987:0.000000:0.000000:0.000000:0.000000:0.000000
 un polígono que :@0.768142:0.836887:0.932627:0.836887:0.932627:0.820498:0.768142:0.820498:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
contenga 6 triángulos equiláteros :@0.548670:0.853484:0.805865:0.853484:0.805865:0.837095:0.548670:0.837095:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Averigua:@0.807984:0.853484:0.879520:0.853484:0.879520:0.836583:0.807984:0.836583:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 cómo :@0.879520:0.853484:0.932629:0.853484:0.932629:0.837095:0.879520:0.837095:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se llama este polígono.:@0.548670:0.870080:0.716671:0.870080:0.716671:0.853691:0.548670:0.853691:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P = l + l + l                      :@0.751971:0.140398:0.903714:0.140398:0.903714:0.125499:0.751971:0.125499:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P = 6 :@0.751971:0.160515:0.789546:0.160515:0.789546:0.145616:0.751971:0.145616:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cm:@0.789546:0.160515:0.809817:0.160515:0.809817:0.145641:0.789546:0.145641:0.000000:0.000000
 + 4 :@0.809817:0.160515:0.838983:0.160515:0.838983:0.145616:0.809817:0.145616:0.000000:0.000000:0.000000:0.000000:0.000000
cm:@0.838983:0.160515:0.859253:0.160515:0.859253:0.145641:0.838983:0.145641:0.000000:0.000000
 + 4, 5 :@0.859253:0.160515:0.903178:0.160515:0.903178:0.145616:0.859253:0.145616:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cm:@0.903178:0.160515:0.923448:0.160515:0.923448:0.145641:0.903178:0.145641:0.000000:0.000000
   :@0.923448:0.160515:0.934455:0.160515:0.934455:0.145616:0.923448:0.145616:0.000000:0.000000:0.000000
P = 14,5 :@0.751971:0.180631:0.808812:0.180631:0.808812:0.165732:0.751971:0.165732:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cm:@0.808812:0.180631:0.829082:0.180631:0.829082:0.165758:0.808812:0.165758:0.000000:0.000000
P = l + l + l                      :@0.754350:0.297208:0.906093:0.297208:0.906093:0.282309:0.754350:0.282309:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P = 8 :@0.754350:0.317325:0.791925:0.317325:0.791925:0.302426:0.754350:0.302426:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cm:@0.791925:0.317325:0.812196:0.317325:0.812196:0.302451:0.791925:0.302451:0.000000:0.000000
 + 6 :@0.812196:0.317325:0.841362:0.317325:0.841362:0.302426:0.812196:0.302426:0.000000:0.000000:0.000000:0.000000:0.000000
cm:@0.841362:0.317325:0.861632:0.317325:0.861632:0.302451:0.841362:0.302451:0.000000:0.000000
 + 9 :@0.861632:0.317325:0.890798:0.317325:0.890798:0.302426:0.861632:0.302426:0.000000:0.000000:0.000000:0.000000:0.000000
cm:@0.890798:0.317325:0.911068:0.317325:0.911068:0.302451:0.890798:0.302451:0.000000:0.000000
   :@0.911068:0.317325:0.922075:0.317325:0.922075:0.302426:0.911068:0.302426:0.000000:0.000000:0.000000
P = 23 :@0.754350:0.337442:0.800100:0.337442:0.800100:0.322543:0.754350:0.322543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cm:@0.800100:0.337442:0.820371:0.337442:0.820371:0.322568:0.800100:0.322568:0.000000:0.000000
A:@0.755263:0.209161:0.763157:0.209161:0.763157:0.196881:0.755263:0.196881:0.000000
bh bh:@0.778004:0.201294:0.830609:0.200916:0.830609:0.188636:0.778004:0.189015:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.730503:0.241397:0.738397:0.241397:0.738397:0.229117:0.730503:0.229117:0.000000
cm cm:@0.810383:0.241397:0.852007:0.241019:0.852007:0.228740:0.810383:0.229117:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.788568:0.218360:0.795742:0.218360:0.795742:0.205286:0.788568:0.205286:0.000000
43 43:@0.753846:0.233530:0.805709:0.233150:0.805709:0.220076:0.753846:0.220456:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.763695:0.250598:0.770869:0.250598:0.770869:0.237524:0.763695:0.237524:0.000000
6:@0.796535:0.241397:0.803709:0.241397:0.803709:0.228323:0.796535:0.228323:0.000000
2:@0.828166:0.234665:0.832022:0.234665:0.832022:0.227638:0.828166:0.227638:0.000000
=:@0.765691:0.209701:0.773761:0.209701:0.773761:0.197278:0.765691:0.197278:0.000000
×:@0.787976:0.201835:0.796047:0.201835:0.796047:0.189412:0.787976:0.189412:0.000000
=:@0.740941:0.241937:0.749011:0.241937:0.749011:0.229514:0.740941:0.229514:0.000000
×:@0.763800:0.234071:0.771870:0.234071:0.771870:0.221648:0.763800:0.221648:0.000000
=:@0.785159:0.241937:0.793230:0.241937:0.793230:0.229514:0.785159:0.229514:0.000000
A:@0.779423:0.208782:0.787317:0.208782:0.787317:0.196503:0.779423:0.196503:0.000000
A:@0.754663:0.241019:0.762557:0.241019:0.762557:0.228740:0.754663:0.228740:0.000000
2:@0.812728:0.217979:0.819902:0.217979:0.819902:0.204905:0.812728:0.204905:0.000000
2:@0.787841:0.250215:0.795015:0.250215:0.795015:0.237141:0.787841:0.237141:0.000000
6:@0.820687:0.241019:0.827861:0.241019:0.827861:0.227945:0.820687:0.227945:0.000000
2:@0.852326:0.234287:0.856182:0.234287:0.856182:0.227260:0.852326:0.227260:0.000000
=:@0.789851:0.209323:0.797922:0.209323:0.797922:0.196900:0.789851:0.196900:0.000000
×:@0.812137:0.201456:0.820207:0.201456:0.820207:0.189033:0.812137:0.189033:0.000000
=:@0.765101:0.241560:0.773172:0.241560:0.773172:0.229137:0.765101:0.229137:0.000000
×:@0.787960:0.233694:0.796031:0.233694:0.796031:0.221271:0.787960:0.221271:0.000000
=:@0.809320:0.241560:0.817390:0.241560:0.817390:0.229137:0.809320:0.229137:0.000000
A:@0.761486:0.366482:0.770215:0.366482:0.770215:0.352903:0.761486:0.352903:0.000000
bh:@0.786630:0.357780:0.818083:0.357780:0.818083:0.344201:0.786630:0.344201:0.000000:0.000000
A:@0.731921:0.402127:0.740650:0.402127:0.740650:0.388549:0.731921:0.388549:0.000000
cm:@0.824626:0.402127:0.843937:0.402127:0.843937:0.388549:0.824626:0.388549:0.000000:0.000000
2:@0.798309:0.376654:0.806241:0.376654:0.806241:0.362198:0.798309:0.362198:0.000000
67:@0.757411:0.393429:0.787337:0.393429:0.787337:0.378972:0.757411:0.378972:0.000000:0.000000
2:@0.768384:0.412302:0.776316:0.412302:0.776316:0.397845:0.768384:0.397845:0.000000
21:@0.804193:0.402127:0.819896:0.402127:0.819896:0.387671:0.804193:0.387671:0.000000:0.000000
2:@0.844285:0.394684:0.848548:0.394684:0.848548:0.386914:0.844285:0.386914:0.000000
=:@0.773030:0.367079:0.781954:0.367079:0.781954:0.353342:0.773030:0.353342:0.000000
×:@0.797673:0.358381:0.806597:0.358381:0.806597:0.344644:0.797673:0.344644:0.000000
=:@0.743452:0.402725:0.752376:0.402725:0.752376:0.388988:0.743452:0.388988:0.000000
×:@0.768095:0.394027:0.777019:0.394027:0.777019:0.380290:0.768095:0.380290:0.000000
=:@0.792022:0.402725:0.800946:0.402725:0.800946:0.388988:0.792022:0.388988:0.000000
A:@0.784842:0.367619:0.792873:0.367619:0.792873:0.355127:0.784842:0.355127:0.000000
bh:@0.807977:0.359617:0.836915:0.359617:0.836915:0.347125:0.807977:0.347125:0.000000:0.000000
A:@0.757643:0.400415:0.765674:0.400415:0.765674:0.387923:0.757643:0.387923:0.000000
cm:@0.842930:0.400415:0.860696:0.400415:0.860696:0.387923:0.842930:0.387923:0.000000:0.000000
2:@0.818724:0.376976:0.826022:0.376976:0.826022:0.363676:0.818724:0.363676:0.000000
67:@0.781103:0.392408:0.808635:0.392408:0.808635:0.379108:0.781103:0.379108:0.000000:0.000000
2:@0.791198:0.409770:0.798496:0.409770:0.798496:0.396470:0.791198:0.396470:0.000000
21:@0.824145:0.400415:0.838591:0.400415:0.838591:0.387115:0.824145:0.387115:0.000000:0.000000
2:@0.861017:0.393566:0.864940:0.393566:0.864940:0.386417:0.861017:0.386417:0.000000
=:@0.795462:0.368169:0.803672:0.368169:0.803672:0.355531:0.795462:0.355531:0.000000
×:@0.818133:0.360167:0.826343:0.360167:0.826343:0.347529:0.818133:0.347529:0.000000
=:@0.768252:0.400965:0.776463:0.400965:0.776463:0.388327:0.768252:0.388327:0.000000
×:@0.790924:0.392962:0.799134:0.392962:0.799134:0.380324:0.790924:0.380324:0.000000
=:@0.812937:0.400965:0.821147:0.400965:0.821147:0.388327:0.812937:0.388327:0.000000
x:@0.181242:0.302559:0.188026:0.302559:0.188026:0.287686:0.181242:0.287686:0.000000
 = 55°,   = 70°:@0.188026:0.302559:0.278607:0.302559:0.278607:0.287660:0.188026:0.287660:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.233208:0.302559:0.240009:0.302559:0.240009:0.287686:0.233208:0.287686:0.000000
x:@0.180655:0.615300:0.187440:0.615300:0.187440:0.600427:0.180655:0.600427:0.000000
 = 45°,   = 105°:@0.187440:0.615300:0.286195:0.615300:0.286195:0.600401:0.187440:0.600401:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.232621:0.615300:0.239423:0.615300:0.239423:0.600427:0.232621:0.600427:0.000000
x:@0.171760:0.886789:0.178545:0.886789:0.178545:0.871916:0.171760:0.871916:0.000000
 = 50°,  = 130° :@0.178545:0.886789:0.280315:0.886789:0.280315:0.871890:0.178545:0.871890:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y :@0.223726:0.886789:0.233543:0.886789:0.233543:0.871916:0.223726:0.871916:0.000000:0.000000
P:@0.850232:0.697264:0.858206:0.697264:0.858206:0.682390:0.850232:0.682390:0.000000
 = 47,8 :@0.858206:0.697264:0.906637:0.697264:0.906637:0.682365:0.858206:0.682365:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m :@0.906637:0.697264:0.922954:0.697264:0.922954:0.682390:0.906637:0.682390:0.000000:0.000000
A:@0.850232:0.712352:0.859228:0.712352:0.859228:0.697478:0.850232:0.697478:0.000000
 = 98 m:@0.859228:0.712352:0.910289:0.712352:0.910289:0.697453:0.859228:0.697453:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.910272:0.706863:0.915039:0.706863:0.915039:0.698177:0.910272:0.698177:0.000000
105°:@0.822319:0.754925:0.851770:0.754925:0.851770:0.740026:0.822319:0.740026:0.000000:0.000000:0.000000:0.000000
 ©:@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