Question

using the given diagram, solve for x.

x = 20/3

Explanation:

Step1: Use the similarity of triangles

Since the two triangles are similar (by AA similarity as they share an angle and have right angles), the ratios of corresponding sides are equal. So, \(\frac{x}{20}=\frac{15}{25}\).

Step2: Solve for \(x\)

Cross - multiply: \(25x = 20\times15\). Then \(25x=300\). Divide both sides by 25: \(x=\frac{300}{25}=12\).

Answer:

\(x = 12\)