Question

cálculos os elementos desconhecido sabendo que a// b// c

Answer 1

Pelo teorema de Tales:

$\frac{3}{\frac{2x}{3}}= \frac{x}{4}\\ \\3*4=x*\frac{2x}{3}\\\\12 = \frac{2x^2}{3}\\\\2x^2 = 12*3\\\\2x^2 = 36\\\\x^2=\frac{36}{2}\\\\x^2=18\\\\x=\sqrt{18} \\\\x=3\sqrt{2}$

Assim os elementos pedidos vale:

$\frac{2x}{3}= \frac{2*3\sqrt{2}}{3}=2\sqrt{2} \\\\e\\\\x=3\sqrt{2}$