Y by
Let
be an acute scalene triangle with circumcenter
. Let
be the feet of the altitudes from
to
respectively. Let
be the midpoint of
. Let
be the circle with diameter
. Let
be the intersection of
and
. Let
be the orthocenter of
. Let
be the intersection of
and
. Let
be the lines through
tangent to
respectively. Let
be the intersection of
and
. Let
be the intersection of
and
. Let
be the line through
parallel to
and let
be the reflection of
across
. Prove that
is tangent to
.


































This post has been edited 1 time. Last edited by vincentwant, Apr 30, 2025, 3:55 PM