Question

1. triangle bcd is similar to triangle efg. find the measure of side fg. round your answer to the nearest tenth if necessary. figures are not drawn to scale.

Explanation:

Step1: Set up proportion

Since $\triangle BCD\sim\triangle EFG$, the ratios of corresponding sides are equal. Let $FG = x$. We have $\frac{BC}{EF}=\frac{CD}{FG}$. Given $BC = 14$, $CD = 19$, and $EF = 28$. So $\frac{14}{28}=\frac{19}{x}$.

Step2: Cross - multiply

Cross - multiplying the proportion $\frac{14}{28}=\frac{19}{x}$ gives us $14x=19\times28$.

Step3: Solve for x

First, calculate $19\times28 = 532$. Then, $x=\frac{532}{14}=38$.

Answer:

38