< PREVIOUS PROBLEM | NEXT PROBLEM >
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.
Home | Search | Geometry | Problems | All Problems | Open Problems | Visual Index | 10 Problems | 921-930 | Triangles | Triangle Area | Median | Midpoint | Concurrency | Email | Solution / comment | By Antonio Gutierrez