IMO Shortlist 2016 problem G6
Kvaliteta:
Avg: 0,0Težina:
Avg: 8,0Let be a convex quadrilateral with
. The internal angle bisectors of
and
meet
at
and
respectively, and meet each other at point
. Let
be the midpoint of
and let
be the circumcircle of triangle
. Segments
and
intersect
again at
and
respectively. Denote by
the intersection point of lines
and
. Prove that
.
Izvor: https://www.imo-official.org/problems/IMO2016SL.pdf