### Home > MC2 > Chapter 9 > Lesson 9.3.1 > Problem9-74

9-74.

The two triangles below are similar.

1. Find $x$. Show your strategy.

Try finding the scale factor between the two corresponding sides that are given and solve for $x$.

Another way to solve for $x$ is to create a proportion.
One possible proportion is shown below.
$\frac{24}{9} = \frac{16}{x}$

$x = 6$ cm

2. What is the scale factor ($\frac{\text{big}}{\text{small}}$)?

What is the scale factor between the larger triangle and the smaller triangle? Find the ratio between corresponding sides.

Scale factor matches proportion.

$\frac{8}{3}$

3. Find the area of each triangle.

Use the formula for area of a triangle:
$\frac{1}{2}(\text{base})(\text{height})$