Question

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

Explanation:

Step1: Set up the proportion

Since the triangles are similar, the ratios of corresponding sides are equal. Let \( UV = x \). The proportion is \(\frac{QR}{TU}=\frac{RS}{UV}\). Substituting the values, we get \(\frac{2}{11.4}=\frac{4}{x}\).

Step2: Cross - multiply

Cross - multiplying gives \(2x = 11.4\times4\).

Step3: Solve for \(x\)

First, calculate \(11.4\times4 = 45.6\). Then, \(x=\frac{45.6}{2}\).

Answer:

\(22.8\)