Geometry

Geometry Level 3

In a right angle triangle \(ABC\), angle \(B\) is \(90^\circ\). points \(D, E\) and \(F\) lies on the sides \(AB, AC\) and \(BC\) such that \(BDEF\) is a square. If \(AE = 7.5\text{ cm}\) and \(AC = 18\text{ cm}\), what is the area of triangle \(ABC\)?

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