Question

in the diagram, \\( \triangle ywz \sim \triangle ram \\). find the value of \\( x \\).

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Explanation:

Step1: Use the property of similar triangles

Since \(\triangle YWZ\sim\triangle RAM\), the ratios of their corresponding sides are equal. That is \(\frac{YW}{RA}=\frac{WZ}{AM}=\frac{YZ}{RM}\).

Step2: Set up the proportion

We have \(\frac{45}{60}=\frac{x}{52}\).

Step3: Solve the proportion for \(x\)

Cross - multiply: \(60x = 45\times52\).
First, calculate \(45\times52=2340\). Then \(x=\frac{2340}{60}\).
\(x = 39\).

Answer:

39