Question

quadrilateral bcde is similar to quadrilateral fghi. find the measure of side hi. round your answer to the nearest tenth if necessary.

Explanation:

Step1: Set up the proportion

Since the quadrilaterals are similar, the ratios of corresponding sides are equal. Let \(HI = x\). The proportion is \(\frac{EB}{FI}=\frac{ED}{HI}\). Substituting the values, we get \(\frac{15}{59}=\frac{7}{x}\).

Step2: Solve the proportion for \(x\)

Cross - multiply: \(15x = 59\times7\). Then \(15x=413\). Divide both sides by 15: \(x=\frac{413}{15}\approx27.5\).

Answer:

\(27.5\)