Question

triangle abc is similar to triangle def. find the measure of side fd. round your answer to the nearest tenth if necessary.

Explanation:

Step1: Set up proportion

Since \(\triangle ABC\sim\triangle DEF\), the ratios of corresponding sides are equal. Let \(FD = x\). Then \(\frac{AB}{DE}=\frac{AC}{DF}\), substituting \(AB = 6\), \(DE=29\), \(AC = 11.9\) gives \(\frac{6}{29}=\frac{11.9}{x}\).

Step2: Solve for \(x\)

Cross - multiply: \(6x=11.9\times29\). First calculate \(11.9\times29 = 345.1\). Then \(x=\frac{345.1}{6}\approx57.5\).

Answer:

\(57.5\)