< PREVIOUS PROBLEM | NEXT PROBLEM >

In a triangle ABC of area S, cevians AD and CE meet at F (figure below). If S_{1}, S_{2}, and S_{3} are the areas of triangles BDE, DEF, and AFC, respectively, prove that: S.S_{2} = S_{1}.S_{3}.

Home | Search | Geometry | Problems | All Problems | Open Problems | Visual Index | 10 Problems | 1131-1140 | Triangle | Triangle area | Areas | Email | Solution / comment.Last updated: Jul 9, 2015 by Antonio Gutierrez.