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
.
. 