Question

the triangles are similar, solve for the question mark.

Explanation:

Step1: Set up proportion

Since the triangles are similar, the ratios of corresponding sides are equal. So, \(\frac{10}{15}=\frac{x}{12}\) (assuming the sides are in proportion).

Step2: Cross - multiply

Cross - multiplying gives \(15x = 10\times12\).

Step3: Solve for \(x\)

\(15x=120\), then \(x=\frac{120}{15}=8\).

Answer:

8