Question

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

Explanation:

Step1: Set up the proportion

Since \(\triangle KLM\sim\triangle NOP\), the ratios of corresponding sides are equal. So, \(\frac{KL}{NO}=\frac{LM}{OP}\). Let \(OP = x\). We know \(KL = 5\), \(NO=24\), and \(LM = 11\). The proportion becomes \(\frac{5}{24}=\frac{11}{x}\).

Step2: Cross - multiply

Cross - multiplying gives us \(5x=24\times11\).

Step3: Solve for \(x\)

First, calculate \(24\times11 = 264\). Then, \(x=\frac{264}{5}=52.8\).

Answer:

\(52.8\)