Proving a Midpoint

[arita]

Given a triangle ABC, with AF= 1/4AB, AE= 1/4AC, and BE intersects CF at O, prove that AO hits BC at its midpoint.

 

[Mrspi]

Given a triangle ABC, with AF= 1/4AB, AE= 1/4AC, and BE intersects CF at O, prove that AO hits BC at its midpoint.

You haven't told us where F is, or E......without this information, there's not much I can do to help.

Maybe someone whose crystal ball is functioning better than mine might know.