Y by
In an acute-angled non-equilateral triangle
the altitudes
respectively and intersect the angle bisectors respective to the sides
at points
. Let
be the intersection point of the altitudes
of the triangle and
the midpoint of side
. Prove that the lines drawn from points
perpendicular on sides
respectively and the bisector of the angle
intersect at one point, that lies on segment
.












This post has been edited 1 time. Last edited by parmenides51, Jun 21, 2022, 2:00 AM