Y by Purple_Planet, itslumi, jhu08, mathematicsy, Mango247, Mango247, ItsBesi
Let
be an isosceles triangle (
) with incenter
. Circle
passes through
and
and is tangent to
.
intersects
and circumcircle of
at
and
, respectively. Let
be the midpoint of
and
be the midpoint of
. Prove that
,
and
are concurrent.
Proposed by Alireza Dadgarnia



















Proposed by Alireza Dadgarnia