Question

bc and △xyz 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. The ratio of side \(AB = 5\) to \(XY=45\) is the scale factor.
Scale factor \(k=\frac{XY}{AB}=\frac{45}{5} = 9\)

Step2: Calculate the missing side

The side \(YZ\) corresponds to \(BC = 8\). Using the scale factor, \(YZ=k\times BC\)
\(YZ=9\times8\)

Answer:

72