Question

quadrilateral abcd is similar to quadrilateral efgh. find the measure of side gh. round your answer to the nearest tenth if necessary.

Explanation:

Step1: Set up the proportion

Since the quadrilaterals are similar, the ratios of corresponding sides are equal. Let \(GH = x\). The proportion is \(\frac{GH}{CD}=\frac{EH}{AD}\), which is \(\frac{x}{34}=\frac{59}{19}\).

Step2: Solve for \(x\)

Cross - multiply: \(19x = 34\times59\). Then \(19x=2006\). Divide both sides by 19: \(x=\frac{2006}{19}\approx105.6\).

Answer:

\(105.6\)