## Application of Similar Triangles

Read this section and watch the videos to see the examples of applications of similar triangles in geometric and real-life problems.

### 30-60-90 Triangle Side Ratios

1. Find the ratios between the three sides of any triangle.

[Figure 4]

**The three sides of any 30-60-90 triangle will be in this ratio: .**

2. Find the missing sides of the triangle below.

[Figure 5]

The side opposite the angle is the smallest side because is the smallest angle. Therefore, the length of corresponds to the length of in the ratio . The scale factor is . The other sides of the triangle will be and , because is equivalent to . and .