Question

consider the original triangle and the reduction.
what is the length of side a in centimeters?

Explanation:

Step1: Set up proportion

Since the triangles are similar, the ratios of corresponding sides are equal. Let the length of side \(A\) be \(x\). The proportion is \(\frac{x}{3}=\frac{8}{4}\).

Step2: Solve the proportion

Cross - multiply: \(4x = 3\times8\). Then \(4x=24\). Divide both sides by \(4\): \(x=\frac{24}{4}\).

Answer:

\(6\)