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Geometry

Area of Inscribed Isosceles Triangle

· Level 1 (25 points)

\(ABC\) is an isosceles triangle with \(AB = BC\). The circumcircle of \(ABC\) has radius \(8\). Given that \(AC\) is a diameter of the circumcircle, what is the area of triangle \(ABC\)?

Details and assumptions

The circumcircle of a triangle \(ABC\) passes through \(A, B, C\).

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