Question 126
The tangents to the circumcircle of the acute triangle $ABC$, passing through the vertices $B$ and $C$, meet at point $F$. The points $M$, $L$ and $N$ are the feet of the perpendiculars from the vertex $A$ to the lines $FB$, $FC$ and $BC$ respectively.
Prove the inequality $AM + AL \ge 2AN$.
Prove the inequality $AM + AL \ge 2AN$.