204:@0.031627:0.974518:0.062330:0.974518:0.062330:0.956333:0.031627:0.956333:0.000000:0.000000:0.000000
Geometría:@0.073089:0.043661:0.168070:0.043661:0.168070:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4.2 Resolución de triángulos rectángulos :@0.293660:0.136624:0.617271:0.136624:0.617271:0.119677:0.293660:0.119677:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplos 1:@0.293660:0.166843:0.376658:0.166843:0.376658:0.150174:0.293660:0.150174:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a.  Escribir las razones trigonométricas del triángulo rectángulo :@0.293660:0.190636:0.762370:0.190636:0.762370:0.174202:0.293660:0.174202:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ABC:@0.761899:0.190636:0.790375:0.190636:0.790375:0.174230:0.761899:0.174230:0.000000:0.000000:0.000000
.:@0.790320:0.190636:0.793522:0.190636:0.793522:0.174202:0.790320:0.174202:0.000000
Solución:@0.293655:0.219066:0.359789:0.219066:0.359789:0.202396:0.293655:0.202396:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.293660:0.295812:0.297691:0.295812:0.297691:0.279379:0.293660:0.279379:0.000000
b.  Resolver el siguiente triángulo rectángulo y escribir todas las razones trigonométricas.:@0.293660:0.323176:0.926653:0.323176:0.926653:0.306742:0.293660:0.306742:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución :@0.323788:0.351605:0.393824:0.351605:0.393824:0.334936:0.323788:0.334936:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Resolver el triángulo rectángulo consiste en hallar las :@0.508873:0.375389:0.930798:0.375389:0.930798:0.358956:0.508873:0.358956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
medidas de todos los lados y ángulos.:@0.508873:0.392031:0.783625:0.392031:0.783625:0.375597:0.508873:0.375597:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b:@0.508873:0.419393:0.543239:0.419393:0.543239:0.402987:0.508873:0.402987:0.000000:0.000000:0.000000
 y   son los catetos y   es la hipotenusa.:@0.518058:0.419393:0.802995:0.419393:0.802995:0.402959:0.518058:0.402959:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.670286:0.419393:0.677943:0.419393:0.677943:0.402987:0.670286:0.402987:0.000000
Primero:@0.323769:0.483326:0.386533:0.483326:0.386533:0.466379:0.323769:0.466379:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
: :@0.386446:0.483326:0.393606:0.483326:0.393606:0.466892:0.386446:0.466892:0.000000:0.000000
hallamos la medida de la hipotenusa.:@0.393514:0.483326:0.663137:0.483326:0.663137:0.466892:0.393514:0.466892:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.293660:0.515415:0.297691:0.515415:0.297691:0.498981:0.293660:0.498981:0.000000
Sen:@0.355870:0.515490:0.381069:0.515490:0.385860:0.499084:0.360661:0.499084:0.000000:0.000000:0.000000
c:@0.438602:0.526487:0.446260:0.526487:0.451050:0.510081:0.443393:0.510081:0.000000
30:@0.391501:0.515490:0.409283:0.515490:0.409283:0.499056:0.391501:0.499056:0.000000:0.000000
5:@0.443171:0.506905:0.452153:0.506905:0.452153:0.490471:0.443171:0.490471:0.000000
,:@0.456056:0.515490:0.459258:0.515490:0.459258:0.499056:0.456056:0.499056:0.000000
(:@0.385069:0.518631:0.391198:0.518631:0.391198:0.498643:0.385069:0.498643:0.000000
):@0.416637:0.518631:0.422767:0.518631:0.422767:0.498643:0.416637:0.498643:0.000000
° =:@0.409072:0.516169:0.435965:0.516169:0.435965:0.500554:0.409072:0.500554:0.000000:0.000000:0.000000
 despejando la incógnita  , empleamos una calculadora para :@0.461700:0.515415:0.914923:0.515415:0.914923:0.498981:0.461700:0.498981:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.648681:0.515415:0.656338:0.515415:0.656338:0.499009:0.648681:0.499009:0.000000
 :@0.293660:0.542777:0.297691:0.542777:0.297691:0.526343:0.293660:0.526343:0.000000
calcular el :@0.353907:0.542777:0.430132:0.542777:0.430132:0.526343:0.353907:0.526343:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sen:@0.429968:0.542777:0.453474:0.542777:0.453474:0.526371:0.429968:0.526371:0.000000:0.000000:0.000000
(30°) :@0.453418:0.542777:0.490288:0.542777:0.490288:0.526343:0.453418:0.526343:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.293660:0.606450:0.297691:0.606450:0.297691:0.590016:0.293660:0.590016:0.000000
Segundo:@0.323781:0.633813:0.394789:0.633813:0.394789:0.616866:0.323781:0.616866:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
::@0.394621:0.633813:0.397823:0.633813:0.397823:0.617379:0.394621:0.617379:0.000000
 encontramos la medida del lado  , para lo cual aplicaremos el teorema de :@0.397676:0.633813:0.930782:0.633813:0.930782:0.617379:0.397676:0.617379:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.636124:0.633813:0.645383:0.633813:0.645383:0.617407:0.636124:0.617407:0.000000
Pitágoras.:@0.323771:0.650455:0.393299:0.650455:0.393299:0.634021:0.323771:0.634021:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.293660:0.682374:0.297691:0.682374:0.297691:0.665941:0.293660:0.665941:0.000000
 Reemplazando los datos::@0.449205:0.682374:0.634146:0.682374:0.634146:0.665941:0.449205:0.665941:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.293660:0.719824:0.297691:0.719824:0.297691:0.703390:0.293660:0.703390:0.000000
Tercero:@0.323781:0.747187:0.384056:0.747187:0.384056:0.730240:0.323781:0.730240:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
::@0.384366:0.747187:0.387569:0.747187:0.387569:0.730753:0.384366:0.730753:0.000000
 determinamos la medida del ángulo  . Como aprendimos en temas :@0.387882:0.747187:0.930925:0.747187:0.930925:0.730753:0.387882:0.730753:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.685914:0.747187:0.694749:0.747187:0.694749:0.730781:0.685914:0.730781:0.000000
anteriores, la suma de los ángulos internos de un triángulo es 180°, por lo tanto, si :@0.323788:0.763829:0.930493:0.763829:0.930493:0.747395:0.323788:0.747395:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conocemos el valor de dos ángulos, por sumatoria obtenemos el valor del tercer :@0.323788:0.780471:0.930850:0.780471:0.930850:0.764037:0.323788:0.764037:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ángulo.:@0.323788:0.797112:0.377918:0.797112:0.377918:0.780679:0.323788:0.780679:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.293660:0.824476:0.297691:0.824476:0.297691:0.808042:0.293660:0.808042:0.000000
Cuarto::@0.353907:0.851839:0.411864:0.851839:0.411864:0.834892:0.353907:0.834892:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.411774:0.851839:0.415585:0.851839:0.415585:0.834892:0.411774:0.834892:0.000000
escribimos las razones trigonométricas con relación al ángulo  .:@0.415511:0.851839:0.877607:0.851839:0.877607:0.835405:0.415511:0.835405:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.864593:0.851839:0.874478:0.851839:0.874478:0.835433:0.864593:0.835433:0.000000
 :@0.293660:0.935935:0.297691:0.935935:0.297691:0.919501:0.293660:0.919501:0.000000
B:@0.760077:0.210353:0.766013:0.210353:0.766013:0.199986:0.760077:0.199986:0.000000
A:@0.692582:0.286357:0.699079:0.286357:0.699079:0.275991:0.692582:0.275991:0.000000
C:@0.763485:0.285418:0.769833:0.285418:0.769833:0.275051:0.763485:0.275051:0.000000
a:@0.765098:0.248924:0.771068:0.248924:0.771068:0.238557:0.765098:0.238557:0.000000
 = 4 :@0.771068:0.248924:0.791027:0.248924:0.791027:0.238566:0.771068:0.238566:0.000000:0.000000:0.000000:0.000000:0.000000
cm:@0.791027:0.248924:0.805107:0.248924:0.805107:0.238557:0.791027:0.238557:0.000000:0.000000
c:@0.681819:0.248519:0.686658:0.248519:0.686658:0.238152:0.681819:0.238152:0.000000
 = 5 :@0.686658:0.248519:0.706616:0.248519:0.706616:0.238161:0.686658:0.238161:0.000000:0.000000:0.000000:0.000000:0.000000
cm:@0.706616:0.248519:0.720696:0.248519:0.720696:0.238152:0.706616:0.238152:0.000000:0.000000
b:@0.713273:0.290132:0.719278:0.290132:0.719278:0.279765:0.713273:0.279765:0.000000
 = 3 :@0.719278:0.290132:0.739237:0.290132:0.739237:0.279774:0.719278:0.279774:0.000000:0.000000:0.000000:0.000000:0.000000
cm:@0.739237:0.290132:0.753317:0.290132:0.753317:0.279765:0.739237:0.279765:0.000000:0.000000
α:@0.706422:0.279653:0.712724:0.279653:0.712724:0.269295:0.706422:0.269295:0.000000
B:@0.368678:0.372814:0.374367:0.372814:0.374367:0.363540:0.368678:0.363540:0.000000
A:@0.494935:0.451866:0.501161:0.451866:0.501161:0.442592:0.494935:0.442592:0.000000
C:@0.366694:0.451866:0.372778:0.451866:0.372778:0.442592:0.366694:0.442592:0.000000
a:@0.325884:0.420376:0.331606:0.420376:0.331606:0.411101:0.325884:0.411101:0.000000
 = 5 :@0.331606:0.420376:0.350734:0.420376:0.350734:0.411035:0.331606:0.411035:0.000000:0.000000:0.000000:0.000000:0.000000
cm:@0.350734:0.420376:0.364228:0.420376:0.364228:0.411101:0.350734:0.411101:0.000000:0.000000
c:@0.430327:0.404206:0.434963:0.404206:0.434963:0.394931:0.430327:0.394931:0.000000
b:@0.430327:0.451874:0.436081:0.451874:0.436081:0.442600:0.430327:0.442600:0.000000
30º:@0.462433:0.441431:0.477571:0.441431:0.477571:0.432090:0.462433:0.432090:0.000000:0.000000:0.000000
La biomecánica utiliza las :@0.078835:0.191250:0.249286:0.191250:0.249286:0.176310:0.078835:0.176310:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
razones trigonométricas :@0.078835:0.206379:0.242487:0.206379:0.242487:0.191439:0.078835:0.191439:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(seno, coseno, tangente) :@0.078835:0.221508:0.244301:0.221508:0.244301:0.206568:0.078835:0.206568:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para analizar el :@0.078835:0.236637:0.180343:0.236637:0.180343:0.221697:0.078835:0.221697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
movimiento humano. :@0.078835:0.251766:0.226491:0.251766:0.226491:0.236826:0.078835:0.236826:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Estas razones permiten :@0.078835:0.266895:0.234592:0.266895:0.234592:0.251955:0.078835:0.251955:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
calcular ángulos de :@0.078835:0.282024:0.210129:0.282024:0.210129:0.267084:0.078835:0.267084:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
articulaciones, fuerzas :@0.078835:0.297153:0.226794:0.297153:0.226794:0.282213:0.078835:0.282213:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aplicadas y optimizar :@0.078835:0.312281:0.221023:0.312281:0.221023:0.297342:0.078835:0.297342:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
movimientos para mejorar :@0.078835:0.327410:0.257506:0.327410:0.257506:0.312471:0.078835:0.312471:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el rendimiento y prevenir :@0.078835:0.342539:0.248719:0.342539:0.248719:0.327600:0.078835:0.327600:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lesiones.:@0.078835:0.357668:0.134653:0.357668:0.134653:0.342728:0.078835:0.342728:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Es fundamental prestar :@0.078835:0.376365:0.234555:0.376365:0.234555:0.361425:0.078835:0.361425:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
atención a la correcta :@0.078835:0.391494:0.224085:0.391494:0.224085:0.376554:0.078835:0.376554:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
alineación y los ángulos :@0.078835:0.406623:0.239412:0.406623:0.239412:0.391683:0.078835:0.391683:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de las articulaciones :@0.078835:0.421752:0.215410:0.421752:0.215410:0.406812:0.078835:0.406812:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
durante el ejercicio. Un :@0.078835:0.436881:0.233724:0.436881:0.233724:0.421941:0.078835:0.421941:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
consejo práctico sería :@0.078835:0.452010:0.225544:0.452010:0.225544:0.437070:0.078835:0.437070:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
enfocarse en la técnica :@0.078835:0.467139:0.232890:0.467139:0.232890:0.452199:0.078835:0.452199:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
adecuada: asegurarse :@0.078835:0.482268:0.225039:0.482268:0.225039:0.467328:0.078835:0.467328:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de realizar movimientos :@0.078835:0.497397:0.240431:0.497397:0.240431:0.482457:0.078835:0.482457:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con la postura correcta :@0.078835:0.512526:0.234155:0.512526:0.234155:0.497586:0.078835:0.497586:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y los ángulos óptimos, :@0.078835:0.527655:0.229768:0.527655:0.229768:0.512715:0.078835:0.512715:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
basados en los principios :@0.078835:0.542784:0.248167:0.542784:0.248167:0.527844:0.078835:0.527844:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la biomecánica y :@0.078835:0.557912:0.214061:0.557912:0.214061:0.542973:0.078835:0.542973:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
trigonometría para reducir :@0.078835:0.573041:0.256997:0.573041:0.256997:0.558102:0.078835:0.558102:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el riesgo de lesiones.:@0.078835:0.588170:0.214567:0.588170:0.214567:0.573231:0.078835:0.573231:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aprende a escuchar al :@0.078835:0.737796:0.228647:0.737796:0.228647:0.722856:0.078835:0.722856:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuerpo y evitar forzarlo :@0.078835:0.752924:0.233891:0.752924:0.233891:0.737985:0.078835:0.737985:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
más allá de sus límites :@0.078835:0.768053:0.227777:0.768053:0.227777:0.753114:0.078835:0.753114:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
naturales es esencial para :@0.078835:0.783182:0.250155:0.783182:0.250155:0.768243:0.078835:0.768243:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el bienestar a largo plazo.:@0.078835:0.799824:0.245317:0.799824:0.245317:0.784884:0.078835:0.784884:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cátedra :@0.078581:0.139452:0.138160:0.139452:0.138160:0.124046:0.078581:0.124046:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de salud y :@0.078581:0.154581:0.154118:0.154581:0.154118:0.139175:0.078581:0.139175:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bienestar:@0.078581:0.169710:0.146269:0.169710:0.146269:0.154304:0.078581:0.154304:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
EC. Deduce y aplica las propiedades especiales de un triángulo con ángulos de 30°, 60° y 90°.:@0.427392:0.971366:0.915081:0.971366:0.915081:0.959415:0.427392:0.959415:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000