Question

10 multiple choice 1 point the two triangles in the picture are similar. what is the value of x? x = 3b x = \frac{3b}{a} x = \frac{a}{3b} x = \frac{b}{3b}

Explanation:

Step1: Apply the property of similar triangles

For similar triangles, the ratios of corresponding sides are equal.
$$\frac{x}{b}=\frac{3}{a}$$

Step2: Solve for \(x\)

Cross - multiply the above equation: \(x\times a = 3\times b\), then \(x=\frac{3b}{a}\)

Answer:

\(x = \frac{3b}{a}\) (the second option)