Question

triangle jkl is similar to triangle mno. find mn. round your answer to the nearest tenth if necessary. figures are not drawn to scale.

Explanation:

Step1: Set up proportion

Since the triangles are similar, the ratios of corresponding sides are equal. Let's assume that side $JL$ corresponds to side $MO$ and side $JK$ corresponds to side $MN$. So we have the proportion $\frac{JL}{MO}=\frac{JK}{MN}$. Substituting the given values, $\frac{5}{18}=\frac{9}{x}$.

Step2: Cross - multiply

Cross - multiplying gives us $5x = 18\times9$.

Step3: Solve for $x$

First, calculate $18\times9 = 162$. Then we have $5x=162$. Divide both sides by 5: $x=\frac{162}{5}=32.4$.

Answer:

$32.4$