Online Geometry Problems, High School, College

Online Geometry Problem 471. Triangle, Parallel, Side, Concurrency, Area, Similarity

The figure shows a triangle ABC of area S. Lines DE, FG, and HM, concurrent at a point O, are parallel to AC, BC, and AB respectively. If S1, S2, and S3 are the areas of triangles ODF, OME, and OGH respectively, prove that Formula to prove

Triangle, area, similarity, parallel