then prove
Y by Adventure10
Let 
be a triangle with altitude 
, angle bisectors 
and 
that intersecting at point 
. From point let 
be a perpendicular on 
. Also let line 
be perpendicular on at point 
. Extension of 
intersects line at point 
. Prove that 
.
be a triangle with altitude 
, angle bisectors 
and 
that intersecting at point 
. From point let 
be a perpendicular on 
. Also let line 
be perpendicular on at point 
. Extension of 
intersects line at point 
. Prove that 
.This post has been edited 2 times. Last edited by parmenides51, Mar 22, 2020, 5:04 PM
on 
.![\[\frac{AK}{IT} = \frac{AE}{IE} = \frac{AD}{IP}\]](http://latex.artofproblemsolving.com/8/f/2/8f20404e64ea4925c03f41188c5524c37a9fd7eb.png)
Of course, 
so the conclusion follows.
