Question

question
quadrilateral defg is similar to quadrilateral hijk. find the measure of side kh. round
your answer to the nearest tenth if necessary.
answer attempt 1 out of 2

Explanation:

Step1: Set up the proportion

Since quadrilateral \(DEFG\) is similar to quadrilateral \(HIJK\), the ratios of corresponding sides are equal. Let \(KH = x\). We have the proportion \(\frac{KH}{GD}=\frac{KJ}{GF}\).

Step2: Substitute the values

Substituting \(GD = 5\), \(GF=7\), \(KJ = 31\) into the proportion \(\frac{x}{5}=\frac{31}{7}\).

Step3: Solve for \(x\)

Cross - multiply: \(7x=5\times31\), so \(7x = 155\). Then \(x=\frac{155}{7}\approx22.1\).

Answer:

\(22.1\)