Question

11. Considerando o triângulo retângulo ABC, determine as medidas a e b indicadas.

obs: 12v3 = 12√3

Answer 1

Olá.

$\mathsf{sen(60\°) = \dfrac{c. \: op}{hip}} \\ \\ \\ \mathsf{\dfrac{\sqrt{3}}{2} = \dfrac{12 \sqrt{3}}{a}} \\ \\ \\ \mathsf{a \sqrt{3} = 24 \sqrt{3}} \\ \\ \\ \mathsf{a = 24}$

$\mathsf{cos(60\°) = \dfrac{b}{24}} \\ \\ \\ \mathsf{\dfrac{1}{2} = \dfrac{b}{24}} \\ \\ \\ \mathsf{b = 12}$

Bons estudos.