102:@0.048054:0.510692:0.076414:0.510692:0.076414:0.494068:0.048054:0.494068:0.000000:0.000000:0.000000
Tema:@0.047190:0.135475:0.083321:0.135475:0.083321:0.113749:0.047190:0.113749:0.000000:0.000000:0.000000:0.000000
Se puede comprobar que la hipotenusa mide :@0.535404:0.329606:0.874226:0.329606:0.874226:0.313218:0.535404:0.313218:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5 unidades y se cumple::@0.535404:0.346203:0.711517:0.346203:0.711517:0.329814:0.535404:0.329814:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.660712:0.369922:0.668378:0.369922:0.668378:0.353561:0.660712:0.353561:0.000000
2 =  2 +  2:@0.668746:0.369922:0.744889:0.369922:0.744889:0.353533:0.668746:0.353533:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.694545:0.369922:0.703814:0.369922:0.703814:0.353561:0.694545:0.353561:0.000000
b:@0.729982:0.369922:0.739251:0.369922:0.739251:0.353561:0.729982:0.353561:0.000000
52 = 32 + 42:@0.662352:0.390086:0.743249:0.390086:0.743249:0.373698:0.662352:0.373698:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
25 = 9 + 16:@0.661265:0.410251:0.744337:0.410251:0.744337:0.393862:0.661265:0.393862:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
25 = 25:@0.675288:0.430416:0.730313:0.430416:0.730313:0.414027:0.675288:0.414027:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.115610:0.647812:0.132509:0.647812:0.132509:0.630676:0.115610:0.630676:0.000000:0.000000:0.000000
Identifica :@0.148854:0.647812:0.222473:0.647812:0.222473:0.631188:0.148854:0.631188:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los elementos de los siguientes triángulos rectángulos, :@0.222288:0.647812:0.616749:0.647812:0.616749:0.631423:0.222288:0.631423:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
escribe:@0.616564:0.647812:0.670373:0.647812:0.670373:0.631188:0.616564:0.631188:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 su nombre en los recuadros. :@0.670189:0.647812:0.880078:0.647812:0.880078:0.631423:0.670189:0.631423:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a)   :@0.148854:0.671531:0.185910:0.671531:0.185910:0.654630:0.148854:0.654630:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.236231:0.671531:0.240045:0.671531:0.240045:0.654630:0.236231:0.654630:0.000000
 :@0.296539:0.671531:0.300353:0.671531:0.300353:0.654630:0.296539:0.654630:0.000000
 :@0.356847:0.671531:0.360662:0.671531:0.360662:0.654630:0.356847:0.654630:0.000000
 :@0.417157:0.671531:0.420971:0.671531:0.420971:0.654630:0.417157:0.654630:0.000000
            b):@0.477456:0.671531:0.539446:0.671531:0.539446:0.654630:0.477456:0.654630:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.539446:0.671531:0.543482:0.671531:0.543482:0.655142:0.539446:0.655142:0.000000
Taller:@0.176414:0.606575:0.237309:0.606575:0.237309:0.572628:0.176414:0.572628:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
I.M.4.6.1. Demuestra el teorema de Pitágoras valiéndose de diferentes estrategias y lo aplica en la resolución de ejercicios o situaciones :@0.257435:0.584040:0.878115:0.584040:0.878115:0.573611:0.257435:0.573611:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
reales relacionadas a triángulos rectángulos; demuestra creatividad en los procesos empleados y valora el trabajo individual o grupal. :@0.257435:0.594602:0.878069:0.594602:0.878069:0.584172:0.257435:0.584172:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(I.1., S.4.) :@0.257435:0.605163:0.298349:0.605163:0.298349:0.594734:0.257435:0.594734:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Teorema de Pitágoras:@0.115891:0.141978:0.432863:0.141978:0.432863:0.101242:0.115891:0.101242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El teorema de Pitágoras se aplica en triángulos rectángulos y establece que el cuadrado de la hipotenusa :@0.115209:0.167757:0.884038:0.167757:0.884038:0.151368:0.115209:0.151368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es igual a la suma de los cuadrados de los catetos.:@0.115209:0.184353:0.480419:0.184353:0.480419:0.167964:0.115209:0.167964:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Hipotenusa2 = cateto12 + cateto22:@0.366924:0.220113:0.626366:0.220113:0.626366:0.203213:0.366924:0.203213:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Actividad resuelta:@0.115209:0.267351:0.272331:0.267351:0.272331:0.248914:0.115209:0.248914:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Construyamos:@0.115209:0.287196:0.225885:0.287196:0.225885:0.270572:0.115209:0.270572:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 un triángulo rectángulo cuyos catetos midan   = 3 y   = 4 unidades, y en cada lado de :@0.225885:0.287196:0.883879:0.287196:0.883879:0.270808:0.225885:0.270808:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.570278:0.287196:0.579547:0.287196:0.579547:0.270835:0.570278:0.270835:0.000000
b:@0.627385:0.287196:0.636654:0.287196:0.636654:0.270835:0.627385:0.270835:0.000000
este triángulo :@0.115209:0.303793:0.220117:0.303793:0.220117:0.287404:0.115209:0.287404:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
construyamos:@0.219749:0.303793:0.328083:0.303793:0.328083:0.287169:0.219749:0.287169:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 un cuadrado. :@0.328083:0.303793:0.432015:0.303793:0.432015:0.287404:0.328083:0.287404:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tomamos:@0.431646:0.303793:0.506647:0.303793:0.506647:0.287169:0.431646:0.287169:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 medidas y :@0.506647:0.303793:0.589295:0.303793:0.589295:0.287404:0.506647:0.287404:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comprobamos:@0.588926:0.303793:0.701151:0.303793:0.701151:0.287169:0.588926:0.287169:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el teorema de Pitágoras.:@0.701151:0.303793:0.879862:0.303793:0.879862:0.287404:0.701151:0.287404:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
11:@0.053646:0.122645:0.076865:0.122645:0.076865:0.065614:0.053646:0.065614:0.000000:0.000000
M.4.2.14. Demostrar el teorema de Pitágoras utilizando áreas de regiones rectangulares.:@0.125388:0.074999:0.531113:0.074999:0.531113:0.064570:0.125388:0.064570:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.323026:0.431883:0.330691:0.431883:0.330691:0.415522:0.323026:0.415522:0.000000
b:@0.353910:0.439006:0.363179:0.439006:0.363179:0.422644:0.353910:0.422644:0.000000
a:@0.320556:0.459945:0.329825:0.459945:0.329825:0.443583:0.320556:0.443583:0.000000
c:@0.170260:0.481409:0.177926:0.481409:0.177926:0.465048:0.170260:0.465048:0.000000
2 =  2 +  2:@0.178295:0.481409:0.254438:0.481409:0.254438:0.465020:0.178295:0.465020:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.204094:0.481409:0.213363:0.481409:0.213363:0.465048:0.204094:0.465048:0.000000
b:@0.239530:0.481409:0.248799:0.481409:0.248799:0.465048:0.239530:0.465048:0.000000
4:@0.421263:0.374031:0.430256:0.374031:0.430256:0.357642:0.421263:0.357642:0.000000
4:@0.484876:0.423363:0.493868:0.423363:0.493868:0.406975:0.484876:0.406975:0.000000
3:@0.370901:0.498835:0.379893:0.498835:0.379893:0.482447:0.370901:0.482447:0.000000
3:@0.320685:0.539607:0.329678:0.539607:0.329678:0.523218:0.320685:0.523218:0.000000
5:@0.310053:0.341419:0.319045:0.341419:0.319045:0.325030:0.310053:0.325030:0.000000
5:@0.197662:0.355678:0.206655:0.355678:0.206655:0.339289:0.197662:0.339289:0.000000
25:@0.258492:0.391222:0.277767:0.391222:0.277767:0.374598:0.258492:0.374598:0.000000:0.000000
16:@0.416104:0.424733:0.435379:0.424733:0.435379:0.408109:0.416104:0.408109:0.000000:0.000000
9:@0.320446:0.500080:0.329899:0.500080:0.329899:0.483456:0.320446:0.483456:0.000000
Shutterstock, (2021). 1288864738:@0.874027:0.560410:0.874027:0.444518:0.860131:0.444518:0.860131:0.560410:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cateto:@0.399718:0.741530:0.443995:0.741530:0.443995:0.726631:0.399718:0.726631:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cateto:@0.772811:0.892758:0.817087:0.892758:0.817087:0.877859:0.772811:0.877859:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cateto:@0.622759:0.692734:0.667036:0.692734:0.667036:0.677835:0.622759:0.677835:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cateto:@0.252766:0.861476:0.297043:0.861476:0.297043:0.846577:0.252766:0.846577:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Hipotenusa:@0.379766:0.898265:0.457162:0.898265:0.457162:0.883366:0.379766:0.883366:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Hipotenusa:@0.604248:0.849733:0.681644:0.849733:0.681644:0.834834:0.604248:0.834834:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ángulo recto:@0.232965:0.693325:0.320411:0.693325:0.320411:0.678426:0.232965:0.678426:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ángulo recto:@0.748620:0.735734:0.836066:0.735734:0.836066:0.720835:0.748620:0.720835:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000