Y by adamov1, Davi-8191, doxuanlong15052000, tenplusten, Mathuzb, nguyendangkhoa17112003, rashah76, mathematicsy, megarnie, samrocksnature, HWenslawski, son7, Adventure10, Mango247, duhGOAT
Let
be a triangle with circumcircle
, circumcenter
, and orthocenter
. Assume that
and that
. Let
and
be the midpoints of sides
and
, respectively, and let
and
be the feet of the altitudes from
and
in
, respectively. Let
be the intersection of line
with the tangent line to
at
. Let
be the intersection point, other than
, of
with the circumcircle of
. Let
be the intersection of lines
and
. Prove that
.
Proposed by Ray Li



























Proposed by Ray Li