Question

question
quadrilateral bcde is similar to quadrilateral fghi. find the measure of side gh. round
your answer to the nearest tenth if necessary.
answer attempt 1 out of 2

Explanation:

Step1: Set up the proportion

Since the quadrilaterals are similar, the ratios of corresponding sides are equal. Let \(GH = x\). We have the proportion \(\frac{GH}{CD}=\frac{IF}{BE}\). Substituting the values, we get \(\frac{x}{15}=\frac{6}{29}\).

Step2: Solve for \(x\)

Cross - multiply: \(29x = 15\times6\). So \(29x=90\). Then \(x=\frac{90}{29}\approx3.1\).

Answer:

\(3.1\)