Question

given δabc ~ δmno, find x. a. 4 b. 64 c. 8 d. 3.2

Explanation:

Step1: Set up proportion

Since $\triangle ABC\sim\triangle MNO$, $\frac{AB}{MN}=\frac{BC}{NO}$, so $\frac{192}{48}=\frac{16}{x}$.

Step2: Cross - multiply

$192x = 48\times16$.

Step3: Solve for x

$x=\frac{48\times16}{192}=4$.

Answer:

A. 4