Question

calcule o valor de x no triângulo retangulo ??
pfvr é urgente

Answer 1

Como o angulo do triangulo menor eh 45 sabemos que x=y. Entao:

$\tan(30^\circ)=\dfrac{x}{70+x}\\\\\dfrac{\sqrt3}{3}=\dfrac{x}{x+70}\\\\3x=\sqrt3(70+x)\\\\3x-x\sqrt3=70\sqrt3\\\\x=\dfrac{70\sqrt{3}}{3-\sqrt3}=35\sqrt3+35$