165:@0.918240:0.966765:0.943652:0.966765:0.943652:0.950778:0.918240:0.950778:0.000000:0.000000:0.000000
Uso de GeoGebra en aplicaciones geométricas con elementos de :@0.108231:0.146660:0.789189:0.146660:0.789189:0.107956:0.108231:0.107956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.789190:0.144928:0.820637:0.144928:0.820637:0.114526:0.789190:0.114526:0.000000
2:@0.820649:0.132489:0.828165:0.132489:0.828165:0.109925:0.820649:0.109925:0.000000
En el triángulo de vértices A (1, 1), B (–3, 2), C (–1, –4), determinar el perímetro y sus ángulos interiores.:@0.108231:0.175502:0.806928:0.175502:0.806928:0.159721:0.108231:0.159721:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cálculo del perímetro:@0.108231:0.217573:0.283223:0.217573:0.283223:0.199891:0.108231:0.199891:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cálculo de los ángulos interiores:@0.108231:0.626391:0.367230:0.626391:0.367230:0.608708:0.108231:0.608708:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.113956:0.830010:0.117738:0.830010:0.117738:0.814947:0.113956:0.814947:0.000000
1. Selecciona:@0.130579:0.830433:0.220392:0.830433:0.220392:0.814960:0.130579:0.814960:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el ángulo y luego :@0.220392:0.830010:0.337418:0.830010:0.337418:0.814947:0.220392:0.814947:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
señala:@0.337418:0.830433:0.381321:0.830433:0.381321:0.814960:0.337418:0.814960:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 los :@0.381325:0.830010:0.406883:0.830010:0.406883:0.814947:0.381325:0.814947:0.000000:0.000000:0.000000:0.000000:0.000000
vértices BAC, aparecerá el ángulo A.:@0.130579:0.845852:0.361761:0.845852:0.361761:0.830789:0.130579:0.830789:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.112394:0.875301:0.116176:0.875301:0.116176:0.860238:0.112394:0.860238:0.000000
2. Sigue:@0.129016:0.875723:0.182435:0.875723:0.182435:0.860251:0.129016:0.860251:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el mismo proceso para determinar :@0.182435:0.875301:0.413144:0.875301:0.413144:0.860238:0.182435:0.860238:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los ángulos B y C.:@0.129016:0.891143:0.240676:0.891143:0.240676:0.876080:0.129016:0.876080:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.652909:0.738465:0.656691:0.738465:0.656691:0.723402:0.652909:0.723402:0.000000
3. :@0.669530:0.738888:0.685449:0.738888:0.685449:0.723415:0.669530:0.723415:0.000000:0.000000:0.000000
Aparecen en el gráfico :@0.685449:0.738465:0.833626:0.738465:0.833626:0.723402:0.685449:0.723402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los ángulos internos del :@0.669530:0.754307:0.825623:0.754307:0.825623:0.739244:0.669530:0.739244:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
triángulo.:@0.669530:0.770149:0.730322:0.770149:0.730322:0.755086:0.669530:0.755086:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Geogebra.:@0.830942:0.555424:0.830942:0.526788:0.819473:0.526788:0.819473:0.555424:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Geogebra.:@0.830942:0.944134:0.830942:0.915497:0.819473:0.915497:0.819473:0.944134:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.587139:0.311193:0.590921:0.311193:0.590921:0.296130:0.587139:0.296130:0.000000
4. :@0.603761:0.311615:0.619680:0.311615:0.619680:0.296143:0.603761:0.296143:0.000000:0.000000:0.000000
Aparece el perímetro del polígono :@0.619680:0.311193:0.845938:0.311193:0.845938:0.296130:0.619680:0.296130:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en la :@0.603761:0.327035:0.637991:0.327035:0.637991:0.311972:0.603761:0.311972:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Vista Algebráica;:@0.637991:0.327140:0.743263:0.327140:0.743263:0.312104:0.637991:0.312104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.743267:0.327035:0.747049:0.327035:0.747049:0.311972:0.743267:0.311972:0.000000
arrastra:@0.747049:0.327457:0.802616:0.327457:0.802616:0.311985:0.747049:0.311985:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 hasta :@0.802616:0.327035:0.844726:0.327035:0.844726:0.311972:0.802616:0.311972:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la :@0.603761:0.342877:0.618184:0.342877:0.618184:0.327814:0.603761:0.327814:0.000000:0.000000:0.000000
Vista Gráfica.:@0.618184:0.342982:0.702263:0.342982:0.702263:0.327946:0.618184:0.327946:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.109044:0.238568:0.112825:0.238568:0.112825:0.223505:0.109044:0.223505:0.000000
1. Selecciona:@0.125666:0.238991:0.215478:0.238991:0.215478:0.223519:0.125666:0.223519:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la opción polígono e :@0.215478:0.238568:0.356988:0.238568:0.356988:0.223505:0.215478:0.223505:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ingresa:@0.356988:0.238991:0.407261:0.238991:0.407261:0.223519:0.356988:0.223519:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.407229:0.238568:0.411011:0.238568:0.411011:0.223505:0.407229:0.223505:0.000000
uno a uno los puntos del polígono.:@0.125666:0.254410:0.352696:0.254410:0.352696:0.239347:0.125666:0.239347:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.112898:0.428865:0.116679:0.428865:0.116679:0.413802:0.112898:0.413802:0.000000
2. :@0.129520:0.429287:0.145439:0.429287:0.145439:0.413815:0.129520:0.413815:0.000000:0.000000:0.000000
Obtienes el triángulo de la :@0.145439:0.428865:0.319807:0.428865:0.319807:0.413802:0.145439:0.413802:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
figura.:@0.129520:0.444707:0.169307:0.444707:0.169307:0.429644:0.129520:0.429644:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.112394:0.467642:0.116176:0.467642:0.116176:0.452579:0.112394:0.452579:0.000000
3. :@0.129016:0.468065:0.144935:0.468065:0.144935:0.452593:0.129016:0.452593:0.000000:0.000000:0.000000
En :@0.144935:0.467642:0.165005:0.467642:0.165005:0.452579:0.144935:0.452579:0.000000:0.000000:0.000000
Entrada :@0.165005:0.467748:0.219218:0.467748:0.219218:0.452711:0.165005:0.452711:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
escribe:@0.219218:0.468065:0.269013:0.468065:0.269013:0.452593:0.219218:0.452593:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Perímetro = Períme-:@0.269015:0.467642:0.403614:0.467642:0.403614:0.452579:0.269015:0.452579:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tro, luego :@0.129016:0.483484:0.193958:0.483484:0.193958:0.468421:0.129016:0.468421:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
selecciona:@0.193958:0.483907:0.266199:0.483907:0.266199:0.468435:0.193958:0.468435:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.266201:0.483484:0.269982:0.483484:0.269982:0.468421:0.266201:0.468421:0.000000
Polígono :@0.269982:0.483590:0.327342:0.483590:0.327342:0.468553:0.269982:0.468553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y punto a :@0.327342:0.483484:0.393410:0.483484:0.393410:0.468421:0.327342:0.468421:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
punto, :@0.129016:0.499326:0.175559:0.499326:0.175559:0.484263:0.129016:0.484263:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
escribe:@0.175559:0.499749:0.225355:0.499749:0.225355:0.484277:0.175559:0.484277:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 los vértices del polígono.:@0.225357:0.499326:0.388182:0.499326:0.388182:0.484263:0.225357:0.484263:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@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