# Area of triangles questions

Submitted by alpha on Tue, 03/04/2008 - 03:39.

An equilateral triangle ABC is given. D is the mid-point of BC. Another equilateral triangle BDE is formed and its vertex E lies opposite to A. Line AE intersects BC at F.

Prove that-

1)area of BFE= 2 area of FED

2)area of FED = 1/8 area of AFC