Y by farhad.fritl, Frd_19_Hsnzde, ehuseyinyigit, pomodor_ap, Nuran2010
In an acute-angled triangle
,
be the orthocenter of it and
be any point on the side
. The points
are on the segments
, respectively, such that the points
and
are cyclic. The segments
and
intersect at
is a point on
such that
is tangent to the circumcircle of triangle
at
and
intersect at
. Prove that the points
and
lie on the same line.
Proposed by Theoklitos Parayiou, Cyprus





















Proposed by Theoklitos Parayiou, Cyprus
This post has been edited 1 time. Last edited by falantrng, Apr 27, 2025, 4:38 PM