Online Geometry Problems

Online Geometry Problem 928: Triangle, Midpoint, Median, Cevian, Concurrency, Area. Level: High School, SAT Prep, College, Mathematics Education

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The figure below shows a triangle ABC with M midpoint of AC. AD, BM, and CF meet at E. S, S1, S2, S3, S4, S5, and S6, are the areas of triangles ABC, EAF, EFB, EBD, EDC, ECM, and EMA, respectively .
Prove that S1 + S3 + S5 = S2 + S4 + S6 = S/2.




 

Geometry Problem 928: Triangle, Midpoint, Median, Cevian, Concurrency, Area


 

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