Question

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

Explanation:

Step1: Set up the proportion

Since \(\triangle CDE\sim\triangle FGH\), the ratios of corresponding sides are equal. Let \(FG = x\). Then \(\frac{ED}{HG}=\frac{CD}{FG}\). Substituting the given values: \(\frac{14}{57}=\frac{23}{x}\).

Step2: Cross - multiply

Cross - multiplying gives \(14x = 23\times57\).

Step3: Solve for \(x\)

First, calculate \(23\times57 = 1311\). Then \(x=\frac{1311}{14}\approx93.6\).

Answer:

\(93.6\)