Question

these shapes are similar. find x.

Explanation:

Step1: Set up proportion

Since the triangles are similar, the ratios of corresponding sides are equal. Let the ratio of the sides of the smaller triangle to the larger triangle be \(\frac{4}{12}\). The base of the smaller triangle is \(3\) and the base of the larger triangle is \(x\). So, \(\frac{4}{12}=\frac{3}{x}\).

Step2: Cross - multiply

Cross - multiplying gives \(4x = 12\times3\).

Step3: Solve for \(x\)

\(4x=36\), then \(x=\frac{36}{4}\).

Answer:

\(x = 9\)