5. Parts of Similar Triangles
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Recall the Angle-Angle Similarity Theorem.
See solution.
As we can see, the measure of the altitude and side of a triangle are proportional to the corresponding altitude and corresponding side of another triangle. Now, recall the Angle-Angle Similarity Theorem. The two triangles are similar if two angles of one triangle are congruent to two angles of another triangle. Since in our example the angles of one triangle are not congruent to the angles of the second triangle, then these triangles are not similar.