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10003
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CLEI I
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Propósito
<p>Que el estudiante aplique el teorema del coseno en la solución de triángulos no rectángulos.</p>
Motivación
<p>En los temas anteriores vimos cómo encontrar alguna medida en un triángulo rectángulo. ¿y cuando un triángulo no es rectángulo no se puede? La respuesta es sí, en ese caso se usa el teorema del seno y el coseno, pero en esta guía vamos a ver el teorema del coseno.</p>
Explicación
<p><iframe width="500" height="281" src="//www.youtube.com/embed/65RP6V0hsy4" frameborder="0" allowfullscreen=""></iframe><iframe width="500" height="281" src="//www.youtube.com/embed/x4sCCs5q8aA" frameborder="0" allowfullscreen=""></iframe><span class="redactor-invisible-space"><iframe width="500" height="281" src="//www.youtube.com/embed/cCeJffSwHvc" frameborder="0" allowfullscreen=""></iframe><span class="redactor-invisible-space"></span></span></p>
Ejercicios
<p>Ejercicio 1 Calcular la medida del lado c, del siguiente triángulo:</p><p><img src="data:image/png;base64,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" alt=""></p><p><img src="/web/uploads/662/d9435fd4a6-guia-2.png" style=""></p>
Evidencia
Evaluación
<p>Resolver los ejercicios en el cuaderno y enviar.</p>
Bibliografía
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