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.

Applications of Similar Triangles

Similar triangles have congruent corresponding angles and proportional corresponding sides.
There are three common sets of criteria for proving that triangles are similar:
  1. AA: If two triangles have two pairs of congruent angles, then the triangles are similar.


    [Figure 1]

  2. SAS: If two sides of one triangle are proportional to two sides of another triangle and their included angles are congruent, then the triangles are similar. 


    [Figure 2]

  3. SSS: If three sides of one triangle are proportional to three sides of another triangle, then the triangles are similar.

 [Figure 3]



Source: CK-12, https://flexbooks.ck12.org/cbook/ck-12-interactive-geometry-for-ccss/section/6.7/primary/lesson/applications-of-similar-triangles-geo-ccss/

CK12 License This work is licensed under CK-12 Curriculum Materials License.