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Application of Similar Triangles

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/

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