Similar Triangles, Inradii, Parallel.
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 r,
r1, r2, and r3, are the inradii
of triangles ABC, DBE, FGE, and MGC respectively, prove that: r
+ r2 + r3.
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FACTS AND HINTS:
1. SIMILAR TRIANGLES:
Corresponding segments of similar triangles are in proportion.