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 $\frac{y}{9}=\frac{22}{34}$.

Step2: Solve for y

Cross - multiply to get $34y = 9\times22$. Then $y=\frac{9\times22}{34}=\frac{198}{34}=\frac{99}{17}=5\frac{14}{17}$.

Answer:

$5\frac{14}{17}$