Con base en la información dada en el siguiente triánguloEl lado c del triángulo mide ?

SOLUCIÓN

Hola!

Primero hallaremos γ <img src="https://tex.z-dn.net/?f=37%5C%C2%B0%20%2B%2062%5C%C2%B0%20%2B%20%5Cgamma%20%3D%20180%5C%C2%B0%5C%5C%5C%5C%5Cboxed%7B%5Cgamma%20%3D%2081%5C%C2%B0%7D" />

Desúés para hallar "c" utilizaremos la Ley de Senos <img src="https://tex.z-dn.net/?f=%5Cboxed%7B%5Cboldsymbol%7B%5Cfrac%7Ba%7D%7B%5Csin%28%5Calpha%29%7D%3D%5Cfrac%7Bb%7D%7B%5Csin%28%5Cbeta%29%7D%3D%20%5Cfrac%7Bc%7D%7B%5Csin%28%5Cgamma%29%7D%7D%7D%5C%5C%5C%5C%5C%5C%5Cdfrac%7B25.5%7D%7B%5Csin%2837%5C%C2%B0%29%7D%3D%5Cdfrac%7B37.5%7D%7B%5Csin%2862%5C%C2%B0%29%7D%3D%20%5Cdfrac%7Bc%7D%7B%5Csin%2881%5C%C2%B0%29%7D%5C%5C%5C%5C%5C%5CEntonces%5C%5C%5C%5Cc%20%3D%20%5Cdfrac%7B37.5%5Ctimes%20%5Csin%2881%5C%C2%B0%29%7D%7B%5Csin%2862%5C%C2%B0%29%7D%20%5C%5C%5C%5C%5C%5C%5Cboxed%7B%5Cboldsymbol%7B%5Cmathtt%7Bc%3D41.95%5C%3A%20cm%7D%7D%7D" />.