Question

Determine o valor desconhecido em cada caso abaixo sabendo que: AE = 6,18 cm EC = 3,6 cm ED = ? BE = ?

Answer 1

Explicação passo-a-passo:

• $\sf \dfrac{\overline{ED}}{\overline{CD}}=\dfrac{\overline{AE}}{\overline{AB}}$

$\sf \dfrac{\overline{ED}}{2}=\dfrac{6,18}{3}$

$\sf 3\cdot\overline{ED}=2\cdot6,18$

$\sf 3\cdot\overline{ED}=12,36$

$\sf \overline{ED}=\dfrac{12,36}{3}$

$\sf \overline{ED}=4,12~cm$

• $\sf \dfrac{\overline{BE}}{\overline{AB}}=\dfrac{\overline{EC}}{\overline{CD}}$

$\sf \dfrac{\overline{BE}}{3}=\dfrac{3,6}{2}$

$\sf 2\cdot\overline{BE}=3\cdot3,6$

$\sf 2\cdot\overline{BE}=10,8$

$\sf \overline{BE}=\dfrac{10,8}{2}$

$\sf \overline{BE}=5,4~cm$