Question

question triangle hij is similar to triangle klm. find the measure of side mk. round your answer to the nearest tenth if necessary.

Explanation:

Step1: Set up proportion

Since the triangles are similar, the ratios of corresponding sides are equal. Let $MK = x$. The proportion is $\frac{MK}{HJ}=\frac{KL}{HI}$, so $\frac{x}{5}=\frac{54}{11}$.

Step2: Solve for $x$

Cross - multiply: $11x = 5\times54$. Then $11x=270$. Divide both sides by 11: $x=\frac{270}{11}\approx24.5$.

Answer:

$24.5$