Y by A-Thought-Of-God, Bumblebee60, LoloChen, Rounak_iitr
Let
be a scalene triangle,
be the median through
, and
be the incircle. Let
touch
at point
and segment
meet
for the second time at point
. Let
be the triangle formed by lines
and
and the tangent to
at
. Prove that the incircle of triangle
is tangent to the circumcircle of triangle
.
















