In a △ABC, BM and CN are perpendiculars from B and C respectively on any line passing through A. If L is the mid-point of BC, prove that ML=NL.

In a △ABC, BM and CN are perpendiculars from B and C respectively on

1.	In a △ABC, BM and CN are perpendiculars from B and C respectively on any line passing through A. If L is the mid-point of BC, prove that ML=NL.
Answer» In a $△ A B C,$ $B M$ and $C N$ are perpendiculars from $B$ and $C$ respectively on any line passing through A. If $L$ is the mid-point of $B C,$ prove that $M L = N L .$