Question

triangle ghi is similar to triangle jkl. find the measure of side kl. round your answer to the nearest tenth if necessary.

Explanation:

Step1: Set up proportion

Since $\triangle GHI\sim\triangle JKL$, the ratios of corresponding sides are equal. Let $KL = x$. We have the proportion $\frac{HI}{KL}=\frac{GI}{JL}$. Here, $HI = 4$, $GI=7$, $JL = 23$. So, $\frac{4}{x}=\frac{7}{23}$.

Step2: Cross - multiply

Cross - multiplying gives us $7x=4\times23$.

Step3: Solve for x

$7x = 92$, then $x=\frac{92}{7}\approx13.1$.

Answer:

$13.1$