Question

1. if δcde ~ δwxy with a scale factor of 4:3, find the perimeter of δwxy.

diagram: δcde with vertices c, d, e; sides cd=13, ce=22, de=29; δwxy is a similar triangle with vertices w, x, y

Explanation:

Answer:

First, find the perimeter of $\triangle CDE$: $13 + 22 + 29 = 64$. Let the perimeter of $\triangle WXY$ be $P$. Since the scale factor of $\triangle CDE$ to $\triangle WXY$ is $4:3$, we have $\frac{64}{P}=\frac{4}{3}$. Cross - multiplying gives $4P = 64\times3$, so $4P = 192$ and $P=\frac{192}{4}=48$. So the perimeter of $\triangle WXY$ is $48$.