Question

1. △abc ~ △def. find the length of side de.

answer

Explanation:

Step1: Use similarity ratio

Since $\triangle ABC\sim\triangle DEF$, $\frac{AB}{DE}=\frac{BC}{EF}$. Substitute values: $\frac{6}{x}=\frac{6}{9}$.

Step2: Cross - multiply

$6\times9 = 6x$.

Step3: Solve for $x$

$x=\frac{6\times9}{6}=9$.

Answer:

9 in