Question

△abc and △pqr are similar. find the missing side length.
(the triangles are not drawn to scale.)

Explanation:

Step1: Find the scale factor

Since the triangles are similar, the ratio of corresponding sides is equal. Let's take the sides \( AC = 4 \) and \( PR = 28 \). The scale factor \( k \) is \( \frac{PR}{AC}=\frac{28}{4} = 7 \).

Step2: Find the missing side

The side \( AB = 2 \) corresponds to the missing side \( PQ \). So, \( PQ=AB\times k = 2\times7 = 14 \).

Answer:

14