Question

cp geometry a 0 / congruence and similarity

1. triangles rst and uvw are similar. find the missing side y.

12.875
10.15
10.965
11.345

Explanation:

Step1: Set up proportion

Since the triangles are similar, the ratios of corresponding sides are equal. Let's assume the ratio of the sides of $\triangle RST$ to $\triangle UVW$ is the same. We can set up the proportion $\frac{10}{14.5}=\frac{13}{18.85}=\frac{7}{y}$.

Step2: Solve for $y$

Cross - multiply using the proportion $\frac{7}{y}=\frac{10}{14.5}$. We get $10y = 7\times14.5$. Then $10y=101.5$. Divide both sides by 10: $y=\frac{101.5}{10}=10.15$.

Answer:

10.15