Question

triangle efg is similar to triangle hij. find the measure of side ij. round your answer to the nearest tenth if necessary.

Explanation:

Step1: Set up the proportion

Since the triangles are similar, the ratios of corresponding sides are equal. Let \(IJ = x\). The proportion is \(\frac{GE}{HJ}=\frac{GF}{IJ}\). Substituting the values, we get \(\frac{11}{46}=\frac{15}{x}\).

Step2: Cross - multiply

Cross - multiplying gives \(11x = 46\times15\).

Step3: Solve for \(x\)

First, calculate \(46\times15 = 690\). Then \(x=\frac{690}{11}\approx62.7\).

Answer:

\(62.7\)