Let M be a point in the plane of ΔABC such that line AM
bisects ∠BAC. Let A', B', and C' be the perpendicular
projections of point M onto lines BC, CA, and AB respectively.
Let N be the intersection of lines A'M and B'C'.

Prove that line AN bisects side BC.
  

(In reply to re: Solution by Bractals)

Yes - point taken.

I was assuming that angle BAC was the internal angle of the triangle at A (?).

Posted by Harry on 2015-05-19 07:59:17