Question

1. triangle ijk is similar to triangle lmn. find the measure of side nl. round your answer to the nearest tenth if necessary.

Explanation:

Step1: Set up proportion

Since $\triangle IJK\sim\triangle LMN$, the ratios of corresponding sides are equal. Let $NI = x$. We have the proportion $\frac{NI}{KI}=\frac{MN}{JK}$. Given $KI = 13$, $JK = 7$, and $MN=31$. So $\frac{x}{13}=\frac{31}{7}$.

Step2: Solve for x

Cross - multiply to get $7x=31\times13$. Then $7x = 403$. Divide both sides by 7: $x=\frac{403}{7}\approx57.6$.

Answer:

$57.6$