Question

△vut ~ △vkl

Explanation:

Step1: Use the property of similar triangles

Since \(\triangle VUT\sim\triangle VKL\), the ratios of corresponding sides are equal. That is \(\frac{VU}{VK}=\frac{VT}{VL}\). Let \(VU = x\). Then \(VK = 90\), \(VT=98\), \(VL = 70\).

Step2: Set up the proportion

We have the proportion \(\frac{x}{90}=\frac{98}{70}\).

Step3: Solve the proportion

Cross - multiply: \(70x=90\times98\). Then \(x=\frac{90\times98}{70}\). Simplify \(\frac{90\times98}{70}=\frac{90\times14}{10}= 126\).

Answer:

\(126\)