ParallelMedians

Parallel Medians

Draw DE parallel to the basis AB of triangle ABC. Let G be the intersection point of lines BD and FC, where F is the intersection point of DE with the parallel to AC from B. Triangles ABC and DEC are similar and GH is median of both DEC and BEF. Line GE is parallel to the median BI of ABC.

http://users.math.uoc.gr/~pamfilos/