Question

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

Explanation:

Step1: Find the scale - factor

The ratio of the corresponding sides of similar triangles is the same. Let's find the scale - factor using the known corresponding sides. We can use the sides $AC = 48$ and $XZ=6$. The scale - factor $k=\frac{AC}{XZ}=\frac{48}{6}=8$.

Step2: Calculate the missing side

The side $AB$ corresponds to $XY$. Since the scale - factor is 8 and $XY = 5$, then $AB=k\times XY$. So $AB = 8\times5=40$.

Answer:

40