Question

if two similar triangles have corresponding sides of lengths 7, 24, 25 and 14, x, 50, what is the value of x? 48 42 46 36

Explanation:

Step1: Find the scale factor

Since the triangles are similar, the ratio of corresponding sides is equal. The ratio of the first pair of corresponding sides is \(\frac{14}{7}=2\).

Step2: Use the scale factor to find \(x\)

Multiply the corresponding side of the first triangle (\(24\)) by the scale factor (\(2\)). So \(x = 24\times2\).

Answer:

\(48\)