Question

given that the two right triangles below are similar, what is the value of x? 7 8 9 10

Explanation:

Step1: Set up proportion

Since the triangles are similar, \(\frac{2}{5}=\frac{4}{x}\)

Step2: Cross - multiply

\(2x = 5\times4\)
\(2x=20\)

Step3: Solve for \(x\)

Divide both sides by 2: \(x=\frac{20}{2}\)

Answer:

\(10\)