Question

1. triangle ghi is similar to triangle jkl. find the measure of side kl. round your answer to the nearest tenth if necessary. figures are not drawn to scale.

Explanation:

Step1: Set up proportion

Since $\triangle GHI\sim\triangle JKL$, the ratios of corresponding sides are equal. Let the length of $KL$ be $x$. We have the proportion $\frac{HI}{KL}=\frac{GI}{JL}$. Given $HI = 41$, $GI=23$, $JL = 5$, so $\frac{41}{x}=\frac{23}{5}$.

Step2: Cross - multiply

Cross - multiplying gives us $23x=41\times5$.

Step3: Solve for $x$

$23x = 205$, then $x=\frac{205}{23}\approx8.9$.

Answer:

$8.9$