Question

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

Explanation:

Step1: Use the property of similar triangles

Since \(\triangle FGH\sim\triangle IJK\), the ratios of corresponding sides are equal. That is \(\frac{FG}{IJ}=\frac{GH}{JK}\).
Given \(FG = 13\), \(IJ=43\), \(GH = 10\). Let \(JK=x\). Then \(\frac{13}{43}=\frac{10}{x}\).

Step2: Solve the proportion for \(x\)

Cross - multiply: \(13x=43\times10\).
So \(13x = 430\).
Then \(x=\frac{430}{13}\approx33.1\).

Answer:

\(33.1\)