Question

find the unknown length y in the pair of similar triangles.
y = ft
(simplify your answer. type an integer, fraction, or a mixed number.)

Explanation:

Step1: Set up proportion

For similar triangles, the ratios of corresponding sides are equal. So we have $\frac{y}{7}=\frac{16}{24}$.

Step2: Solve for y

Cross - multiply: $24y = 7\times16$. Then $24y=112$. Divide both sides by 24: $y=\frac{112}{24}$. Simplify the fraction: $y = \frac{14}{3}=4\frac{2}{3}$.

Answer:

$4\frac{2}{3}$