Question

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

Explanation:

Step1: Identify corresponding sides

Since $\triangle KLM \sim \triangle NOP$, corresponding sides are proportional. Side $KM$ (length 47) corresponds to side $PN$, and side $KL$ (length 35) corresponds to side $NO$ (length 8).

Step2: Set up proportion

Let $PN = x$. The proportion is $\frac{KM}{PN} = \frac{KL}{NO}$, so $\frac{47}{x} = \frac{35}{8}$.

Step3: Solve for x

Cross - multiply: $35x = 47\times8$. Calculate $47\times8 = 376$. Then $x=\frac{376}{35}\approx10.7$.

Answer:

$\approx10.7$