Question

triangle qrs is similar to triangle tuv. find the measure of side uv. figures are not drawn to scale.

Explanation:

Step1: Set up proportion

Since the triangles are similar, the ratios of corresponding sides are equal. Let $UV = x$. The ratio of the sides is $\frac{QR}{TU}=\frac{RS}{UV}$. Substituting the given values, we have $\frac{2}{11.4}=\frac{4}{x}$.

Step2: Cross - multiply

Cross - multiplying gives us $2x=4\times11.4$.

Step3: Solve for $x$

First, calculate $4\times11.4 = 45.6$. Then, $x=\frac{45.6}{2}$.

Answer:

$22.8$