Question

1. triangle klm is similar to triangle nop. find pn. round your answer to the nearest tenth if necessary. figures are not drawn to scale.

Explanation:

Step1: Set up proportion

Since $\triangle KLM\sim\triangle NOP$, the ratios of corresponding sides are equal. Let $PN = x$. The ratio of the corresponding sides gives $\frac{KL}{NO}=\frac{KM}{PN}$. Substituting the given values, we have $\frac{15}{52}=\frac{32}{x}$.

Step2: Cross - multiply

Cross - multiplying the proportion $\frac{15}{52}=\frac{32}{x}$ gives $15x = 32\times52$.

Step3: Solve for x

First, calculate $32\times52 = 1664$. Then, $x=\frac{1664}{15}\approx110.9$.

Answer:

$110.9$