Similar Triangles, Areas.
Level: High School, SAT Prep, College
In the figure below, given a triangle
ABC, line DEF parallel to AC and line FGM parallel to AB. If S,
S1, S2, and S3, are the areas
of triangles ABC, DBE, FGE, and MGC respectively, prove that:
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FACTS AND HINTS:
1. COMPARING AREAS OF SIMILAR
Proposition: The areas of similar triangles are to each
other as the squares of any two corresponding segments.