The two triangles below are similar.

1. Find $x$. Show your strategy.

   Help (a):

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

   More Help (a):

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

   Answer (a):

   $x = 6$ cm

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

   Help (b):

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

   Hint (b):

   Scale factor matches proportion.

   Answer (b):

   $\frac{8}{3}$

3. Find the area of each triangle.

   Help (c):

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