Y by Adventure10, Mango247, Mango247
In the right-angled triangle
, the point
is symmetric to the point
with respect to the hypotenuse
. Let
be an arbitrary point of the segment
, and
be the base of the perpendicular from point
to the line
. Point
is the midpoint of the segment
. On the segment
(inside the angle
) there is a point
such that
. Prove that the points
,
,
and
lie on the same circle.


















