## 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.

### Similar Triangle Applications

Create similar triangles in order to solve for .

[Figure 6]

[Figure 7]

by because angles are all right angles and are therefore congruent and all triangles share . This means that their corresponding sides are proportional. First, solve for by looking at and which means that corresponding sides are proportional.

Therefore:

Next, solve for by looking at and which means that corresponding sides are proportional.

Therefore: