### Home > CCG > Chapter 4 > Lesson 4.1.2 > Problem4-18

4-18.

The triangles shown below are similar. Homework Help ✎

1. What is the ratio of side length $\overline{NE}$ to side length $\overline{AK}$?

$\frac{NE}{AK}=\frac{96}{24}=4$

2. Use a ratio to compare the perimeters of $ΔENC$ and $ΔKAR$. How is the perimeter ratio related to the side length ratio?

3. If you have not already done so, find the length of $\overline{EC}$.

In part (a), you found that the zoom factor between the two triangles is $4$.
Now use this information to find the perimeters of each triangle, then find the ratio between them.