This is the third and the conclusion of the Triangle Similarity Series. The two prequels are 1. Introduction to Similarity and 2. Properties of Similar Triangles (Part 1).

***

In the previous post, we have investigated the properties of similar triangles. We have learned that corresponding angles of similar triangles are congruent. In this post, we are going to discuss more about the properties of similar triangles. If you have not performed the investigation in the previous post, you can use the applet below.

[iframe http://mathandmultimedia.com/wp-content/uploads/2011/09/propertiessimilartriangles.html 539 464]

You would have realized from your exploration of the applet that aside from the angles, there is also something unique about the side lengths of the corresponding sides of the triangles (check the *Show/Hide Side Length* check box above). We can verify they have the same ratio. That is, if triangle *ABC* is similar to triangle *DEF*, then the following relationships hold: » Read more