Online Geometry Problems, High School, College

Online Geometry Problem 473. Triangle, Parallel, Side, Parallelogram, Area, Similarity

The figure shows a triangle ABC of area S. Lines DE, FG, and HM are parallel to AC, BC, and AB respectively. If S1, S2, S3, and S4 are the areas of triangles DFN, PME, HGQ, and NPQ respectively, prove that Formula to prove.
 

Triangle Area, Similarity