Question

19. Utilizando a lei dos senos, determine o valor de x na figura:
B
450
10 cm
60°
A
Х
с

Answer 1

Resposta :

10√6 /3 cm ou 8,164 cm

x / seno45 = 10 / seno 60

x / √2/2 = 10/√3/2

10√2 / 2 = x√3/2

5√2 = x√3/2

5√2 . 2 = x√3

10√2 = x√3

10√2 / √3 = x

racionalizando

10√2 . √3 / √3 . √3 = x

10√2.3 / √3.3 = x

10√6 / √9 = x

10√6 / 3 = x

x = 10√6 / 3 cm