﻿147:@0.942817:0.964671:0.976116:0.964671:0.976116:0.945025:0.942817:0.945025:0.000000:0.000000:0.000000
Competencia digital:@0.142133:0.095018:0.412675:0.095018:0.412675:0.066978:0.142133:0.066978:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Obtención del área y perímetro de triángulos :@0.096359:0.171369:0.603298:0.171369:0.603298:0.148002:0.096359:0.148002:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y cuadrilátero con GeoGebra:@0.096359:0.194000:0.415037:0.194000:0.415037:0.170633:0.096359:0.170633:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ingresa:@0.096359:0.221938:0.171386:0.221938:0.171386:0.200428:0.096359:0.200428:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 a :@0.171386:0.221938:0.192307:0.221938:0.192307:0.201994:0.171386:0.201994:0.000000:0.000000:0.000000
https://geogebra.org/:@0.192307:0.221938:0.395012:0.221938:0.395012:0.200762:0.192307:0.200762:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. Busca:@0.104110:0.259985:0.177394:0.259985:0.177394:0.240011:0.104110:0.240011:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la opción :@0.177394:0.259985:0.267337:0.259985:0.267337:0.241466:0.177394:0.241466:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Polígono:@0.267337:0.259985:0.341013:0.259985:0.341013:0.241793:0.267337:0.241793:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, :@0.341013:0.259985:0.349571:0.259985:0.349571:0.241466:0.341013:0.241466:0.000000:0.000000
da:@0.349571:0.259985:0.373288:0.259985:0.373288:0.240011:0.349571:0.240011:0.000000:0.000000
 click y :@0.373288:0.259985:0.434985:0.259985:0.434985:0.241466:0.373288:0.241466:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
selecciona:@0.122535:0.279599:0.220427:0.279599:0.220427:0.259625:0.122535:0.259625:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.220427:0.279599:0.225196:0.279599:0.225196:0.261080:0.220427:0.261080:0.000000
Polígono:@0.225196:0.279599:0.298872:0.279599:0.298872:0.261407:0.225196:0.261407:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.298872:0.279599:0.302661:0.279599:0.302661:0.261080:0.298872:0.261080:0.000000
2. Traza:@0.507751:0.259985:0.576006:0.259985:0.576006:0.240011:0.507751:0.240011:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el polígono guiándote con la :@0.576006:0.259985:0.836860:0.259985:0.836860:0.241466:0.576006:0.241466:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuadrícula para determinar acertadamente :@0.526175:0.279599:0.901930:0.279599:0.901930:0.261080:0.526175:0.261080:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los vértices.:@0.526175:0.299212:0.625742:0.299212:0.625742:0.280694:0.526175:0.280694:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3. Observa:@0.104110:0.475725:0.201154:0.475725:0.201154:0.455751:0.104110:0.455751:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 en la parte superior izquierda :@0.201154:0.475725:0.463532:0.475725:0.463532:0.457206:0.201154:0.457206:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la aparición de las palabras :@0.122535:0.495339:0.359241:0.495339:0.359241:0.476820:0.122535:0.476820:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cuadrilátero:@0.359241:0.495339:0.462423:0.495339:0.462423:0.477147:0.359241:0.477147:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y :@0.462423:0.495339:0.481544:0.495339:0.481544:0.476820:0.462423:0.476820:0.000000:0.000000:0.000000
Polígono 1:@0.122534:0.514953:0.210191:0.514953:0.210191:0.496761:0.122534:0.496761:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
; junto a :@0.210191:0.514953:0.284257:0.514953:0.284257:0.496434:0.210191:0.496434:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
polígono:@0.284257:0.514953:0.359043:0.514953:0.359043:0.496761:0.284257:0.496761:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 está la medida :@0.359043:0.514953:0.494459:0.514953:0.494459:0.496434:0.359043:0.496434:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del área del romboide trazado.:@0.122534:0.534567:0.386895:0.534567:0.386895:0.516048:0.122534:0.516048:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4. :@0.507751:0.475725:0.529072:0.475725:0.529072:0.455751:0.507751:0.455751:0.000000:0.000000:0.000000
Para comprobar el resultado obtenido, :@0.526175:0.475725:0.863862:0.475725:0.863862:0.457206:0.526175:0.457206:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dibuja:@0.526175:0.495339:0.586479:0.495339:0.586479:0.475365:0.526175:0.475365:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la altura de la figura, de manera :@0.586479:0.495339:0.867896:0.495339:0.867896:0.476820:0.586479:0.476820:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que aprecies su medida. :@0.526175:0.514953:0.740799:0.514953:0.740799:0.496434:0.526175:0.496434:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aplica:@0.740799:0.514953:0.799295:0.514953:0.799295:0.494979:0.740799:0.494979:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la fórmula :@0.799295:0.514953:0.895552:0.514953:0.895552:0.496434:0.799295:0.496434:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y :@0.526175:0.534567:0.540527:0.534567:0.540527:0.516048:0.526175:0.516048:0.000000:0.000000
verifica:@0.540527:0.534567:0.608888:0.534567:0.608888:0.514593:0.540527:0.514593:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el valor.:@0.608888:0.534567:0.678772:0.534567:0.678772:0.516048:0.608888:0.516048:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.568055:0.698307:0.579749:0.698307:0.579749:0.680116:0.568055:0.680116:0.000000
 =   ×    :@0.579749:0.698307:0.656517:0.698307:0.656517:0.679789:0.579749:0.679789:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.602268:0.698307:0.613222:0.698307:0.613222:0.680116:0.602268:0.680116:0.000000
h:@0.635741:0.698307:0.646978:0.698307:0.646978:0.680116:0.635741:0.680116:0.000000
 :@0.507751:0.717921:0.512520:0.717921:0.512520:0.699403:0.507751:0.699403:0.000000
A:@0.568055:0.717921:0.579749:0.717921:0.579749:0.699729:0.568055:0.699729:0.000000
 = 4 × 6  :@0.579749:0.717921:0.655581:0.717921:0.655581:0.699403:0.579749:0.699403:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.507751:0.737535:0.512520:0.737535:0.512520:0.719016:0.507751:0.719016:0.000000
A:@0.568055:0.737535:0.579749:0.737535:0.579749:0.719343:0.568055:0.719343:0.000000
 = 24:@0.579749:0.737535:0.623523:0.737535:0.623523:0.719016:0.579749:0.719016:0.000000:0.000000:0.000000:0.000000:0.000000
5. :@0.104115:0.769065:0.125436:0.769065:0.125436:0.749091:0.104115:0.749091:0.000000:0.000000:0.000000
Para obtener el perímetro, :@0.122540:0.769065:0.352708:0.769065:0.352708:0.750546:0.122540:0.750546:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ubícate:@0.352708:0.769065:0.422877:0.769065:0.422877:0.749091:0.352708:0.749091:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 debajo, :@0.422877:0.769065:0.496376:0.769065:0.496376:0.750546:0.422877:0.750546:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en la opción entrada. :@0.122540:0.788679:0.310289:0.788679:0.310289:0.770160:0.122540:0.770160:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Digita:@0.310289:0.788679:0.367478:0.788679:0.367478:0.768705:0.310289:0.768705:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 perímetro y :@0.367478:0.788679:0.477980:0.788679:0.477980:0.770160:0.367478:0.770160:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
escoge:@0.122540:0.808292:0.188440:0.808292:0.188440:0.788319:0.122540:0.788319:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la opción. :@0.188440:0.808292:0.282173:0.808292:0.282173:0.789774:0.188440:0.789774:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6. Borra:@0.507751:0.769062:0.577484:0.769062:0.577484:0.749089:0.507751:0.749089:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 lo que está en el corchete y :@0.577484:0.769062:0.824662:0.769062:0.824662:0.750543:0.577484:0.750543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
escribe:@0.824662:0.769062:0.892065:0.769062:0.892065:0.749089:0.824662:0.749089:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.892065:0.769062:0.896834:0.769062:0.896834:0.750543:0.892065:0.750543:0.000000
Polígono 1:@0.526175:0.788676:0.613832:0.788676:0.613832:0.770484:0.526175:0.770484:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. :@0.613832:0.788676:0.622391:0.788676:0.622391:0.770157:0.613832:0.770157:0.000000:0.000000
Observa:@0.622391:0.788676:0.701008:0.788676:0.701008:0.768703:0.622391:0.768703:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 que al lado izquierdo, :@0.701008:0.788676:0.895876:0.788676:0.895876:0.770157:0.701008:0.770157:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
debajo de la palabra :@0.526175:0.808290:0.707478:0.808290:0.707478:0.789771:0.526175:0.789771:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Número:@0.707478:0.808290:0.775273:0.808290:0.775273:0.790098:0.707478:0.790098:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, aparece un :@0.775273:0.808290:0.885427:0.808290:0.885427:0.789771:0.775273:0.789771:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
valor. Esa es la medida del perímetro.:@0.526175:0.827904:0.844869:0.827904:0.844869:0.809385:0.526175:0.809385:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@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 :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000