Question

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

Explanation:

Step1: Set up the proportion

Since \(\triangle BCD\sim\triangle EFG\), the ratios of corresponding sides are equal.
\(\frac{CD}{FG}=\frac{BC}{EF}\)
Let \(FG = x\). We know \(CD = 5\), \(BC = 8\), and \(EF=39\).
So, \(\frac{5}{x}=\frac{8}{39}\)

Step2: Cross - multiply

Cross - multiplying gives us \(8x=5\times39\)
\(8x = 195\)

Step3: Solve for \(x\)

Divide both sides by 8: \(x=\frac{195}{8}\)
\(x = 24.375\)

Answer:

\(24.4\)