Question

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

Explanation:

Step1: Set up the proportion

Since \(\triangle FGH\sim\triangle IJK\), the ratios of corresponding sides are equal. Let \(KI = x\). Then \(\frac{KI}{HF}=\frac{JK}{GH}\), which is \(\frac{x}{8}=\frac{22}{5.1}\).

Step2: Solve for \(x\)

Cross - multiply: \(5.1x=22\times8\). So \(5.1x = 176\). Then \(x=\frac{176}{5.1}\approx34.5\).

Answer:

\(34.5\)