Y by
Let
be an acute triangle. Let us denote the foot of the altitudes from the vertices
and
to the opposite sides by
and
respectively, and the intersection point of the altitudes of the triangle
by
Let
be the intersection of the line
and the segment
A straight line passing through
and perpendicular to
intersects
at
Let
be the intersection of the segment
with the perpendicular drawn from 
Prove that
is the midpoint of segment 

















Prove that


This post has been edited 1 time. Last edited by falantrng, Aug 1, 2023, 12:29 PM
Reason: Typo
Reason: Typo