Triangle Area and Circumcircle

 

 

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 .

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