Question

triangle hij is similar to triangle klm. find the measure of side kl. round your answer to the nearest tenth if necessary.

Explanation:

Step1: Set up the proportion

Since \(\triangle HIJ\sim\triangle KLM\), the ratios of corresponding sides are equal. Let \(KL = x\). Then \(\frac{IJ}{LM}=\frac{HI}{KL}\). Substituting the given values: \(\frac{59}{29}=\frac{28.1}{x}\).

Step2: Cross - multiply

Cross - multiplying gives \(59x=29\times28.1\).

Step3: Solve for \(x\)

First, calculate \(29\times28.1 = 814.9\). Then \(x=\frac{814.9}{59}\).
\(x = 13.811864\approx13.8\)

Answer:

\(13.8\)