Question

quadrilateral defg is similar to quadrilateral hijk. find the measure of side hi. round your answer to the nearest tenth if necessary.

Explanation:

Step1: Set up proportion

Since the quadrilaterals are similar, the ratios of corresponding sides are equal. Let $HI = x$. We have the proportion $\frac{HI}{DE}=\frac{HK}{DG}$. Assuming $DE = 41$ and $DG=29$, $HK = 13$. So $\frac{x}{41}=\frac{13}{29}$.

Step2: Solve for x

Cross - multiply: $29x=41\times13$. Then $29x = 533$. Divide both sides by 29: $x=\frac{533}{29}\approx18.4$.

Answer:

$18.4$