Question

triangle cde is similar to triangle fgh. find the measure of side fc. round your answer to the nearest tenth if necessary.

Explanation:

Step1: Identify corresponding sides

Since $\triangle CDE \sim \triangle FGH$, corresponding sides are proportional. So, $\frac{CD}{FG}=\frac{DE}{GH}$.
Given $CD = 11$, $DE = 6$, $GH = 19$. Let $FG = x$.

Step2: Set up proportion and solve

Set up the proportion: $\frac{11}{x}=\frac{6}{19}$.
Cross - multiply: $6x = 11\times19$.
Calculate $11\times19 = 209$. Then $x=\frac{209}{6}\approx34.8$.

Answer:

The measure of side $FG$ is approximately $34.8$.