Question

find the unknown lengths in the pair of similar triangles. the length of a is in.

Explanation:

Step1: Set up proportion

Since the triangles are similar, the ratios of corresponding sides are equal. Let the unknown side in the first - triangle be \(a\). We have the proportion \(\frac{a}{14}=\frac{12}{8}\).

Step2: Solve for \(a\)

Cross - multiply the proportion: \(8a = 14\times12\). Then \(8a=168\). Divide both sides by 8: \(a=\frac{168}{8}=21\).

Answer:

21