101:@0.911172:0.510692:0.939532:0.510692:0.939532:0.494068:0.911172:0.494068:0.000000:0.000000:0.000000
Tema:@0.916772:0.135475:0.952904:0.135475:0.952904:0.113749:0.916772:0.113749:0.000000:0.000000:0.000000:0.000000
Mira :@0.752237:0.200719:0.786848:0.200719:0.786848:0.185607:0.752237:0.185607:0.000000:0.000000:0.000000:0.000000:0.000000
el video del  :@0.786848:0.200719:0.871213:0.200719:0.871213:0.185820:0.786848:0.185820:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
enlace y:@0.752237:0.215807:0.807135:0.215807:0.807135:0.200908:0.752237:0.200908:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 pon :@0.807135:0.215807:0.842264:0.215807:0.842264:0.200694:0.807135:0.200694:0.000000:0.000000:0.000000:0.000000:0.000000
atención al proceso :@0.752237:0.230895:0.877679:0.230895:0.877679:0.215996:0.752237:0.215996:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para resolver :@0.752237:0.245982:0.841090:0.245982:0.841090:0.231083:0.752237:0.231083:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un triángulo :@0.752237:0.261070:0.838244:0.261070:0.838244:0.246171:0.752237:0.246171:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rectángulo::@0.752237:0.276157:0.827924:0.276157:0.827924:0.261258:0.752237:0.261258:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
TIC:@0.691848:0.181286:0.711817:0.181286:0.711817:0.159560:0.691848:0.159560:0.000000:0.000000:0.000000
mayedu.ec/ctm9/p101:@0.687129:0.294486:0.838552:0.294486:0.838552:0.279361:0.687129:0.279361:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aplicar el teorema de Pitágoras y las relaciones trigonométricas en la resolución de triángulos rectángulos. (Ref. M.4.2.15. y M.4.2.16.):@0.130375:0.074999:0.743096:0.074999:0.743096:0.064570:0.130375:0.064570:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Resolver un triángulo rectángulo significa calcular las medidas de sus :@0.120878:0.171529:0.627177:0.171529:0.627177:0.155140:0.120878:0.155140:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tres lados y el valor de sus tres ángulos, cuando ya conocemos como :@0.120878:0.188125:0.627048:0.188125:0.627048:0.171736:0.120878:0.171736:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mínimo dos de estos elementos (excepto dos de sus ángulos).:@0.120878:0.204721:0.576532:0.204721:0.576532:0.188332:0.120878:0.188332:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para este propósito debes recordar::@0.120878:0.224886:0.379248:0.224886:0.379248:0.208497:0.120878:0.208497:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Resolución de triángulos rectángulos:@0.119762:0.141978:0.670832:0.141978:0.670832:0.101242:0.119762:0.101242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
9:@0.923651:0.122645:0.946025:0.122645:0.946025:0.065614:0.923651:0.065614:0.000000
C:@0.128612:0.361876:0.137625:0.361876:0.137625:0.347003:0.128612:0.347003:0.000000
b:@0.230366:0.361876:0.238793:0.361876:0.238793:0.347003:0.230366:0.347003:0.000000
c:@0.240837:0.295403:0.247806:0.295403:0.247806:0.280529:0.240837:0.280529:0.000000
a:@0.123118:0.307284:0.131544:0.307284:0.131544:0.292410:0.123118:0.292410:0.000000
B:@0.135581:0.247952:0.143622:0.247952:0.143622:0.233078:0.135581:0.233078:0.000000
A:@0.336627:0.361889:0.345623:0.361889:0.345623:0.347015:0.336627:0.347015:0.000000
sen:@0.363119:0.274222:0.386799:0.274222:0.386799:0.257861:0.363119:0.257861:0.000000:0.000000:0.000000
   = :@0.386799:0.274222:0.421516:0.274222:0.421516:0.257833:0.386799:0.257833:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.390834:0.274900:0.402462:0.274900:0.402462:0.259327:0.390834:0.259327:0.000000
c.o.:@0.421513:0.267829:0.442420:0.267829:0.442420:0.252955:0.421513:0.252955:0.000000:0.000000:0.000000:0.000000
 :@0.421513:0.282703:0.425182:0.282703:0.425182:0.267804:0.421513:0.267804:0.000000
 h.:@0.425182:0.282703:0.439874:0.282703:0.439874:0.267829:0.425182:0.267829:0.000000:0.000000:0.000000
;  :@0.443951:0.274222:0.455229:0.274222:0.455229:0.257833:0.443951:0.257833:0.000000:0.000000:0.000000
cos:@0.455229:0.274222:0.478319:0.274222:0.478319:0.257861:0.455229:0.257861:0.000000:0.000000:0.000000
   = :@0.478319:0.274222:0.513036:0.274222:0.513036:0.257833:0.478319:0.257833:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.482354:0.274900:0.493982:0.274900:0.493982:0.259327:0.482354:0.259327:0.000000
c.a.:@0.513033:0.267829:0.534325:0.267829:0.534325:0.252955:0.513033:0.252955:0.000000:0.000000:0.000000:0.000000
 :@0.513033:0.282703:0.516702:0.282703:0.516702:0.267804:0.513033:0.267804:0.000000
 h.:@0.516702:0.282703:0.531394:0.282703:0.531394:0.267829:0.516702:0.267829:0.000000:0.000000:0.000000
;  :@0.535471:0.274222:0.546749:0.274222:0.546749:0.257833:0.535471:0.257833:0.000000:0.000000:0.000000
tan:@0.546749:0.274222:0.570907:0.274222:0.570907:0.257861:0.546749:0.257861:0.000000:0.000000:0.000000
   = :@0.570907:0.274222:0.605625:0.274222:0.605625:0.257833:0.570907:0.257833:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.574943:0.274900:0.586571:0.274900:0.586571:0.259327:0.574943:0.259327:0.000000
c.o.:@0.605620:0.267829:0.626527:0.267829:0.626527:0.252955:0.605620:0.252955:0.000000:0.000000:0.000000:0.000000
c.a.:@0.605620:0.282703:0.626912:0.282703:0.626912:0.267829:0.605620:0.267829:0.000000:0.000000:0.000000:0.000000
∠:@0.363119:0.302831:0.375985:0.302831:0.375985:0.288674:0.363119:0.288674:0.000000
A +  B +  C:@0.375987:0.302529:0.465607:0.302529:0.465607:0.286168:0.375987:0.286168:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∠:@0.403497:0.302831:0.416363:0.302831:0.416363:0.288674:0.403497:0.288674:0.000000
∠:@0.442827:0.302831:0.455693:0.302831:0.455693:0.288674:0.442827:0.288674:0.000000
 = :@0.465607:0.302529:0.484661:0.302529:0.484661:0.286140:0.465607:0.286140:0.000000:0.000000:0.000000
180º:@0.484661:0.302215:0.514832:0.302215:0.514832:0.287316:0.484661:0.287316:0.000000:0.000000:0.000000:0.000000
Si :@0.363122:0.322369:0.378066:0.322369:0.378066:0.307470:0.363122:0.307470:0.000000:0.000000:0.000000
∠:@0.378066:0.322986:0.390931:0.322986:0.390931:0.308828:0.378066:0.308828:0.000000
C:@0.390931:0.322369:0.399944:0.322369:0.399944:0.307496:0.390931:0.307496:0.000000
 = 90º :@0.399944:0.322369:0.442931:0.322369:0.442931:0.307470:0.399944:0.307470:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
⇒ ∠:@0.442931:0.322986:0.476503:0.322986:0.476503:0.308828:0.442931:0.308828:0.000000:0.000000:0.000000
 :@0.459968:0.322369:0.463637:0.322369:0.463637:0.307470:0.459968:0.307470:0.000000
A + B:@0.476498:0.322689:0.526073:0.322689:0.526073:0.306328:0.476498:0.306328:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.500691:0.322374:0.504360:0.322374:0.504360:0.307475:0.500691:0.307475:0.000000
∠:@0.504360:0.322991:0.517226:0.322991:0.517226:0.308833:0.504360:0.308833:0.000000
 = 90º:@0.526073:0.322374:0.565391:0.322374:0.565391:0.307475:0.526073:0.307475:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.363122:0.341020:0.370091:0.341020:0.370091:0.326146:0.363122:0.326146:0.000000
2 =  2 +  2:@0.370091:0.341020:0.435962:0.341020:0.435962:0.326121:0.370091:0.326121:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.392205:0.341020:0.400631:0.341020:0.400631:0.326146:0.392205:0.326146:0.000000
b:@0.422744:0.341020:0.431171:0.341020:0.431171:0.326146:0.422744:0.326146:0.000000
Inversa de una función trigonométrica: :@0.120878:0.397100:0.447784:0.397100:0.447784:0.380199:0.120878:0.380199:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conocido el valor de una función trigonométrica de un  :@0.451359:0.397100:0.888684:0.397100:0.888684:0.380711:0.451359:0.380711:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ángulo, se puede obtener la medida del ángulo mediante la correspondiente función inversa. :@0.120878:0.413696:0.809032:0.413696:0.809032:0.397307:0.120878:0.397307:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Así, por ejemplo::@0.120878:0.433861:0.242924:0.433861:0.242924:0.417472:0.120878:0.417472:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sen A:@0.320117:0.458492:0.362611:0.458492:0.362611:0.442131:0.320117:0.442131:0.000000:0.000000:0.000000:0.000000:0.000000
 ( ) = :@0.343797:0.458492:0.386549:0.458492:0.386549:0.442103:0.343797:0.442103:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 1 :@0.386542:0.452099:0.402055:0.452099:0.402055:0.437200:0.386542:0.437200:0.000000:0.000000:0.000000
 2:@0.386542:0.466973:0.398386:0.466973:0.398386:0.452074:0.386542:0.452074:0.000000:0.000000
 :@0.398386:0.466973:0.401402:0.466973:0.401402:0.452099:0.398386:0.452099:0.000000
→:@0.408118:0.458794:0.424652:0.458794:0.424652:0.444637:0.408118:0.444637:0.000000
   = :@0.424652:0.458178:0.454639:0.458178:0.454639:0.443279:0.424652:0.443279:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.428321:0.458178:0.437317:0.458178:0.437317:0.443304:0.428321:0.443304:0.000000
sen:@0.454639:0.458178:0.476166:0.458178:0.476166:0.443304:0.454639:0.443304:0.000000:0.000000:0.000000
–1:@0.476163:0.452681:0.485812:0.452681:0.485812:0.443994:0.476163:0.443994:0.000000:0.000000
 :@0.485812:0.458492:0.489848:0.458492:0.489848:0.442103:0.485812:0.442103:0.000000
 1 :@0.493823:0.451812:0.509336:0.451812:0.509336:0.436913:0.493823:0.436913:0.000000:0.000000:0.000000
 2:@0.493823:0.466686:0.505667:0.466686:0.505667:0.451787:0.493823:0.451787:0.000000:0.000000
 :@0.505667:0.466686:0.508682:0.466686:0.508682:0.451812:0.505667:0.451812:0.000000
 :@0.512267:0.458492:0.516303:0.458492:0.516303:0.442103:0.512267:0.442103:0.000000
;     = arcsen :@0.514921:0.458178:0.600759:0.458178:0.600759:0.443279:0.514921:0.443279:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.527586:0.458178:0.536582:0.458178:0.536582:0.443304:0.527586:0.443304:0.000000
 1 :@0.604734:0.451812:0.620247:0.451812:0.620247:0.436913:0.604734:0.436913:0.000000:0.000000:0.000000
 2:@0.604734:0.466686:0.616578:0.466686:0.616578:0.451787:0.604734:0.451787:0.000000:0.000000
 :@0.616578:0.466686:0.619593:0.466686:0.619593:0.451812:0.616578:0.451812:0.000000
 ;    = 30º:@0.623178:0.458174:0.685413:0.458174:0.685413:0.443275:0.623178:0.443275:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.637100:0.458174:0.646096:0.458174:0.646096:0.443300:0.637100:0.443300:0.000000
Actividad resuelta:@0.120878:0.502145:0.278000:0.502145:0.278000:0.483708:0.120878:0.483708:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Resolvemos:@0.120878:0.521991:0.212555:0.521991:0.212555:0.505367:0.120878:0.505367:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 los siguientes triángulos rectángulos empleando la calculadora.:@0.212555:0.521991:0.681644:0.521991:0.681644:0.505602:0.212555:0.505602:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.126170:0.567479:0.143020:0.567479:0.143020:0.552268:0.126170:0.552268:0.000000:0.000000:0.000000
Solución, :@0.509600:0.568862:0.586978:0.568862:0.586978:0.551961:0.509600:0.551961:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
empleamos la calculadora.:@0.586978:0.568862:0.782108:0.568862:0.782108:0.552473:0.586978:0.552473:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b) :@0.126170:0.758276:0.144198:0.758276:0.144198:0.743065:0.126170:0.743065:0.000000:0.000000:0.000000
Solución, :@0.509600:0.759659:0.586978:0.759659:0.586978:0.742758:0.509600:0.742758:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
empleamos la calculadora.:@0.586978:0.759659:0.782108:0.759659:0.782108:0.743270:0.586978:0.743270:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.530348:0.601817:0.544685:0.601817:0.544685:0.585179:0.530348:0.585179:0.000000
−:@0.579771:0.601817:0.594108:0.601817:0.594108:0.585179:0.579771:0.585179:0.000000
=:@0.618561:0.601817:0.632898:0.601817:0.632898:0.585179:0.618561:0.585179:0.000000
−:@0.676037:0.601817:0.690374:0.601817:0.690374:0.585179:0.676037:0.585179:0.000000
=:@0.714459:0.601817:0.728795:0.601817:0.728795:0.585179:0.714459:0.585179:0.000000
=:@0.558983:0.632503:0.573320:0.632503:0.573320:0.615865:0.558983:0.615865:0.000000
=:@0.594110:0.632503:0.608447:0.632503:0.608447:0.615865:0.594110:0.615865:0.000000
→:@0.636140:0.632503:0.654567:0.632503:0.654567:0.615865:0.636140:0.615865:0.000000
=:@0.673677:0.632503:0.688013:0.632503:0.688013:0.615865:0.673677:0.615865:0.000000
⎛:@0.724924:0.620553:0.732092:0.620553:0.732092:0.603916:0.724924:0.603916:0.000000
⎝:@0.724924:0.644438:0.732092:0.644438:0.732092:0.627801:0.724924:0.627801:0.000000
⎜:@0.724924:0.627939:0.732092:0.627939:0.732092:0.611301:0.724924:0.611301:0.000000
⎜:@0.724924:0.633678:0.732092:0.633678:0.732092:0.617041:0.724924:0.617041:0.000000
⎜ ⎜:@0.724924:0.639418:0.732092:0.641506:0.732092:0.624869:0.724924:0.622780:0.000000:0.000000:0.000000
⎞:@0.751828:0.620567:0.758997:0.620567:0.758997:0.603929:0.751828:0.603929:0.000000
⎠:@0.751828:0.644452:0.758997:0.644452:0.758997:0.627814:0.751828:0.627814:0.000000
⎟:@0.751828:0.626777:0.758997:0.626777:0.758997:0.610139:0.751828:0.610139:0.000000
⎟:@0.751828:0.631604:0.758997:0.631604:0.758997:0.614966:0.751828:0.614966:0.000000
⎟:@0.751828:0.636431:0.758997:0.636431:0.758997:0.619793:0.751828:0.619793:0.000000
⎟:@0.751828:0.641230:0.758997:0.641230:0.758997:0.624592:0.751828:0.624592:0.000000
→:@0.599856:0.686538:0.618283:0.686538:0.618283:0.669900:0.599856:0.669900:0.000000
10:@0.648345:0.601777:0.666128:0.601777:0.666128:0.585388:0.648345:0.585388:0.000000:0.000000
8:@0.692682:0.601777:0.701675:0.601777:0.701675:0.585388:0.692682:0.585388:0.000000
6:@0.733254:0.601777:0.742247:0.601777:0.742247:0.585388:0.733254:0.585388:0.000000
6:@0.617982:0.623780:0.626974:0.623780:0.626974:0.607391:0.617982:0.607391:0.000000
10:@0.612859:0.643225:0.630641:0.643225:0.630641:0.626836:0.612859:0.626836:0.000000:0.000000
6:@0.737614:0.623780:0.746607:0.623780:0.746607:0.607391:0.737614:0.607391:0.000000
10:@0.732491:0.643225:0.750274:0.643225:0.750274:0.626836:0.732491:0.626836:0.000000:0.000000
= 36,87º:@0.531888:0.665741:0.593727:0.665741:0.593727:0.649352:0.531888:0.649352:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+ = 90º:@0.530837:0.686486:0.597293:0.686486:0.597293:0.670097:0.530837:0.670097:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
= 90º –:@0.634430:0.686486:0.686195:0.686486:0.686195:0.670097:0.634430:0.670097:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
= 90º –36,87º =53,13º:@0.530414:0.707232:0.693052:0.707232:0.693052:0.690843:0.530414:0.690843:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.570345:0.594113:0.575556:0.594113:0.575556:0.584615:0.570345:0.584615:0.000000
2:@0.606257:0.594113:0.611469:0.594113:0.611469:0.584615:0.606257:0.584615:0.000000
2:@0.666618:0.594113:0.671830:0.594113:0.671830:0.584615:0.666618:0.584615:0.000000
2:@0.702160:0.594113:0.707372:0.594113:0.707372:0.584615:0.702160:0.584615:0.000000
-1:@0.715933:0.624799:0.724231:0.624799:0.724231:0.615301:0.715933:0.615301:0.000000:0.000000
a:@0.516946:0.601776:0.526215:0.601776:0.526215:0.585414:0.516946:0.585414:0.000000
c:@0.561654:0.601776:0.569319:0.601776:0.569319:0.585414:0.561654:0.585414:0.000000
b:@0.596408:0.601776:0.605677:0.601776:0.605677:0.585414:0.596408:0.585414:0.000000
sen A:@0.516946:0.632461:0.555471:0.632461:0.555471:0.616100:0.516946:0.616100:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.579250:0.623776:0.588519:0.623776:0.588519:0.607415:0.579250:0.607415:0.000000
c:@0.579821:0.643221:0.587487:0.643221:0.587487:0.626860:0.579821:0.626860:0.000000
A:@0.660276:0.632461:0.670172:0.632461:0.670172:0.616100:0.660276:0.616100:0.000000
sen:@0.692473:0.632461:0.715744:0.632461:0.715744:0.616100:0.692473:0.616100:0.000000:0.000000:0.000000
A:@0.518034:0.665737:0.527929:0.665737:0.527929:0.649376:0.518034:0.649376:0.000000
AB:@0.518034:0.686483:0.553101:0.686483:0.553101:0.670121:0.518034:0.670121:0.000000:0.000000
B:@0.620583:0.686483:0.629429:0.686483:0.629429:0.670121:0.620583:0.670121:0.000000
A:@0.690315:0.686483:0.700211:0.686483:0.700211:0.670121:0.690315:0.670121:0.000000
B:@0.516559:0.707228:0.525405:0.707228:0.525405:0.690867:0.516559:0.690867:0.000000
 :@0.540589:0.633499:0.545712:0.633499:0.545712:0.615091:0.540589:0.615091:0.000000
∠:@0.513963:0.780853:0.526829:0.780853:0.526829:0.766696:0.513963:0.766696:0.000000
 :@0.526829:0.780237:0.530497:0.780237:0.530497:0.765338:0.526829:0.765338:0.000000
A:@0.530497:0.780551:0.540393:0.780551:0.540393:0.764190:0.530497:0.764190:0.000000
 = 90º – :@0.540393:0.780551:0.600928:0.780551:0.600928:0.764162:0.540393:0.764162:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∠:@0.600926:0.780853:0.613792:0.780853:0.613792:0.766696:0.600926:0.766696:0.000000
 :@0.613792:0.780237:0.617461:0.780237:0.617461:0.765338:0.613792:0.765338:0.000000
B:@0.617462:0.780551:0.626308:0.780551:0.626308:0.764190:0.617462:0.764190:0.000000
;  :@0.626308:0.780551:0.637585:0.780551:0.637585:0.764162:0.626308:0.764162:0.000000:0.000000:0.000000
∠:@0.637585:0.780853:0.650451:0.780853:0.650451:0.766696:0.637585:0.766696:0.000000
 :@0.650451:0.780237:0.654120:0.780237:0.654120:0.765338:0.650451:0.765338:0.000000
A:@0.654120:0.780551:0.664016:0.780551:0.664016:0.764190:0.654120:0.764190:0.000000
 = 90º – 55º = 35º:@0.664016:0.780551:0.791996:0.780551:0.791996:0.764162:0.664016:0.764162:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cos  B:@0.513959:0.805432:0.554095:0.805432:0.554095:0.789071:0.513959:0.789071:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ) = :@0.540366:0.805432:0.578032:0.805432:0.578032:0.789043:0.540366:0.789043:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.578034:0.799978:0.581703:0.799978:0.581703:0.785079:0.578034:0.785079:0.000000
a:@0.581703:0.800292:0.590972:0.800292:0.590972:0.783931:0.581703:0.783931:0.000000
 :@0.590972:0.799978:0.593987:0.799978:0.593987:0.785104:0.590972:0.785104:0.000000
   :@0.578039:0.814852:0.591731:0.814858:0.591731:0.799984:0.578039:0.799978:0.000000:0.000000:0.000000
c:@0.581049:0.815172:0.588715:0.815172:0.588715:0.798811:0.581049:0.798811:0.000000
;   :@0.599611:0.805428:0.614924:0.805428:0.614924:0.789039:0.599611:0.789039:0.000000:0.000000:0.000000:0.000000
cos:@0.614924:0.805428:0.638014:0.805428:0.638014:0.789067:0.614924:0.789067:0.000000:0.000000:0.000000
 (55º) = :@0.638014:0.805428:0.695066:0.805428:0.695066:0.789039:0.638014:0.789039:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   :@0.695064:0.798721:0.711395:0.798721:0.711395:0.783822:0.695064:0.783822:0.000000:0.000000:0.000000
7:@0.698733:0.799035:0.707726:0.799035:0.707726:0.782646:0.698733:0.782646:0.000000
 :@0.695061:0.813594:0.698730:0.813594:0.698730:0.798695:0.695061:0.798695:0.000000
c:@0.698733:0.813915:0.706399:0.813915:0.706399:0.797554:0.698733:0.797554:0.000000
  :@0.706397:0.813601:0.711574:0.813601:0.711574:0.798727:0.706397:0.798727:0.000000:0.000000
c:@0.513963:0.838343:0.521629:0.838343:0.521629:0.821982:0.513963:0.821982:0.000000
 = :@0.521629:0.838343:0.540683:0.838343:0.540683:0.821954:0.521629:0.821954:0.000000:0.000000:0.000000
 :@0.540681:0.829259:0.544717:0.829259:0.544717:0.812870:0.540681:0.812870:0.000000
      :@0.544717:0.829259:0.564619:0.829259:0.564619:0.812898:0.544717:0.812898:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
7     :@0.564619:0.829259:0.593790:0.829259:0.593790:0.812870:0.564619:0.812870:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.593790:0.829259:0.597107:0.829259:0.597107:0.812898:0.593790:0.812898:0.000000
 cos :@0.540681:0.844141:0.570405:0.844141:0.570405:0.827779:0.540681:0.827779:0.000000:0.000000:0.000000:0.000000:0.000000
55º:@0.570405:0.844141:0.594600:0.844141:0.594600:0.827752:0.570405:0.827752:0.000000:0.000000:0.000000
 = 12,2:@0.600671:0.838343:0.649910:0.838343:0.649910:0.821954:0.600671:0.821954:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cos  A:@0.513969:0.873043:0.555155:0.873043:0.555155:0.856682:0.513969:0.856682:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ) = :@0.540376:0.873043:0.579093:0.873043:0.579093:0.856654:0.540376:0.856654:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.579084:0.867588:0.582753:0.867588:0.582753:0.852689:0.579084:0.852689:0.000000
b:@0.582753:0.867902:0.592022:0.867902:0.592022:0.851541:0.582753:0.851541:0.000000
 :@0.592022:0.867588:0.595038:0.867588:0.595038:0.852714:0.592022:0.852714:0.000000
   :@0.579089:0.882462:0.592781:0.882468:0.592781:0.867594:0.579089:0.867588:0.000000:0.000000:0.000000
c:@0.582100:0.882782:0.589766:0.882782:0.589766:0.866421:0.582100:0.866421:0.000000
;   :@0.600661:0.873038:0.615975:0.873038:0.615975:0.856649:0.600661:0.856649:0.000000:0.000000:0.000000:0.000000
cos:@0.615975:0.873038:0.639065:0.873038:0.639065:0.856677:0.615975:0.856677:0.000000:0.000000:0.000000
 (35º) = :@0.639065:0.873038:0.696117:0.873038:0.696117:0.856649:0.639065:0.856649:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     :@0.696115:0.864374:0.726691:0.864374:0.726691:0.849475:0.696115:0.849475:0.000000:0.000000:0.000000:0.000000:0.000000
b  :@0.707121:0.864689:0.723024:0.864689:0.723024:0.848327:0.707121:0.848327:0.000000:0.000000:0.000000
12,2 :@0.696115:0.879569:0.730335:0.879569:0.730335:0.863180:0.696115:0.863180:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.513963:0.900327:0.523232:0.900327:0.523232:0.883966:0.513963:0.883966:0.000000
 = 12,2 :@0.523232:0.900327:0.576506:0.900327:0.576506:0.883938:0.523232:0.883938:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cos:@0.576506:0.900327:0.599596:0.900327:0.599596:0.883966:0.576506:0.883966:0.000000:0.000000:0.000000
 (35º) = 10:@0.599596:0.900327:0.674633:0.900327:0.674633:0.883938:0.599596:0.883938:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.287986:0.339908:0.292022:0.339908:0.292022:0.323519:0.287986:0.323519:0.000000
a:@0.292022:0.340585:0.303650:0.340585:0.303650:0.325012:0.292022:0.325012:0.000000
C:@0.161218:0.722850:0.170230:0.722850:0.170230:0.707976:0.161218:0.707976:0.000000
a:@0.149022:0.654038:0.157448:0.654038:0.157448:0.639164:0.149022:0.639164:0.000000
B:@0.168187:0.578361:0.176228:0.578361:0.176228:0.563487:0.168187:0.563487:0.000000
A:@0.447834:0.722850:0.456830:0.722850:0.456830:0.707976:0.447834:0.707976:0.000000
10:@0.308002:0.639944:0.324352:0.639944:0.324352:0.625045:0.308002:0.625045:0.000000:0.000000
8:@0.295538:0.717733:0.303713:0.717733:0.303713:0.702834:0.295538:0.702834:0.000000
C:@0.371599:0.903869:0.380612:0.903869:0.380612:0.888995:0.371599:0.888995:0.000000
b:@0.369187:0.847001:0.377613:0.847001:0.377613:0.832127:0.369187:0.832127:0.000000
c:@0.256627:0.847001:0.263596:0.847001:0.263596:0.832127:0.256627:0.832127:0.000000
B:@0.202886:0.905126:0.210927:0.905126:0.210927:0.890252:0.202886:0.890252:0.000000
A:@0.359872:0.756865:0.368869:0.756865:0.368869:0.741991:0.359872:0.741991:0.000000
55º:@0.244164:0.892389:0.266160:0.892389:0.266160:0.877490:0.244164:0.877490:0.000000:0.000000:0.000000
7:@0.285961:0.914996:0.294136:0.914996:0.294136:0.900097:0.285961:0.900097:0.000000
sen A:@0.513963:0.630109:0.552421:0.630109:0.552421:0.613748:0.513963:0.613748:0.000000:0.000000:0.000000:0.000000:0.000000
( ) = :@0.537642:0.630109:0.576359:0.630109:0.576359:0.613720:0.537642:0.613720:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 a :@0.576357:0.623717:0.590814:0.623717:0.590814:0.608843:0.576357:0.608843:0.000000:0.000000:0.000000
 c :@0.576357:0.638591:0.589357:0.638591:0.589357:0.623717:0.576357:0.623717:0.000000:0.000000:0.000000
 = :@0.597932:0.630109:0.616987:0.630109:0.616987:0.613720:0.597932:0.613720:0.000000:0.000000:0.000000
 6 :@0.616987:0.623717:0.632499:0.623717:0.632499:0.608818:0.616987:0.608818:0.000000:0.000000:0.000000
10:@0.616987:0.638591:0.633337:0.638591:0.633337:0.623692:0.616987:0.623692:0.000000:0.000000
 :@0.633337:0.638591:0.636352:0.638591:0.636352:0.623717:0.633337:0.623717:0.000000
     = :@0.638564:0.629795:0.688754:0.629795:0.688754:0.614896:0.638564:0.614896:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
→:@0.642232:0.630411:0.658767:0.630411:0.658767:0.616254:0.642232:0.616254:0.000000
A:@0.662436:0.629795:0.671432:0.629795:0.671432:0.614921:0.662436:0.614921:0.000000
sen:@0.688754:0.629795:0.710281:0.629795:0.710281:0.614921:0.688754:0.614921:0.000000:0.000000:0.000000
–1:@0.710276:0.624297:0.719925:0.624297:0.719925:0.615611:0.710276:0.615611:0.000000:0.000000
 :@0.719925:0.630109:0.723961:0.630109:0.723961:0.613720:0.719925:0.613720:0.000000
 6 :@0.727936:0.623430:0.743449:0.623430:0.743449:0.608531:0.727936:0.608531:0.000000:0.000000:0.000000
10:@0.727936:0.638304:0.744286:0.638304:0.744286:0.623405:0.727936:0.623405:0.000000:0.000000
 :@0.744286:0.638304:0.747302:0.638304:0.747302:0.623430:0.744286:0.623430:0.000000
 :@0.746380:0.630109:0.750416:0.630109:0.750416:0.613720:0.746380:0.613720:0.000000
∠:@0.513963:0.659689:0.526829:0.659689:0.526829:0.645532:0.513963:0.645532:0.000000
A:@0.526829:0.659388:0.536724:0.659388:0.536724:0.643026:0.526829:0.643026:0.000000
 = 36,87:@0.536724:0.659388:0.594956:0.659388:0.594956:0.642999:0.536724:0.642999:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∠:@0.513963:0.680123:0.526829:0.680123:0.526829:0.665966:0.513963:0.665966:0.000000
A +  B:@0.526829:0.679507:0.572747:0.679507:0.572747:0.664633:0.526829:0.664633:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∠:@0.551840:0.680123:0.564706:0.680123:0.564706:0.665966:0.551840:0.665966:0.000000
 = 90º   :@0.572747:0.679507:0.635937:0.679507:0.635937:0.664608:0.572747:0.664608:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
→ ∠:@0.615734:0.680123:0.648803:0.680123:0.648803:0.665966:0.615734:0.665966:0.000000:0.000000:0.000000
B:@0.648803:0.679507:0.656844:0.679507:0.656844:0.664633:0.648803:0.664633:0.000000
 = 90º – :@0.656844:0.679507:0.711876:0.679507:0.711876:0.664608:0.656844:0.664608:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∠:@0.711876:0.680123:0.724741:0.680123:0.724741:0.665966:0.711876:0.665966:0.000000
A:@0.724741:0.679507:0.733737:0.679507:0.733737:0.664633:0.724741:0.664633:0.000000
∠:@0.513963:0.698769:0.526829:0.698769:0.526829:0.684612:0.513963:0.684612:0.000000
B:@0.526829:0.698153:0.534870:0.698153:0.534870:0.683279:0.526829:0.683279:0.000000
 = 90º – 36,87º = 53,13º:@0.534870:0.698153:0.689746:0.698153:0.689746:0.683254:0.534870:0.683254:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∠:@0.513963:0.717415:0.526829:0.717415:0.526829:0.703257:0.513963:0.703257:0.000000
B:@0.526829:0.716799:0.534870:0.716799:0.534870:0.701925:0.526829:0.701925:0.000000
 = 53,13º:@0.534870:0.716799:0.593453:0.716799:0.593453:0.701900:0.534870:0.701900:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@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 :@0.079553:0.684192:0.079553:0.268045:0.061505:0.268045:0.061505:0.684192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000