Question

triangle stu is similar to triangle vwx. find the measure of side xv. figures are not drawn to scale.

Explanation:

Step1: Set up proportion

Since \(\triangle STU\sim\triangle VWX\), the ratios of corresponding sides are equal. Let \(XV = x\). The proportion is \(\frac{XV}{SU}=\frac{WX}{TU}\), substituting values: \(\frac{x}{6}=\frac{9.2}{4}\).

Step2: Solve the proportion

Cross - multiply: \(4x=6\times9.2\). Then \(4x = 55.2\). Divide both sides by \(4\): \(x=\frac{55.2}{4}\).

Answer:

\(13.8\)