
Prove that the area of
.
intersects the center of the circle. Connect points
Q and B, since
lies on the diameter of the
circle and B lies on the circle,
is a right angle.
Drop a perpendicular from A to
. Let the intersection
point be P. Because
and
both
intersect chord
,
=
. So
is similar to
by AAA. Therefore,

The base of
is a so
.