Geometry Problem 1

Geometry Level 3

In triangle \(ABC\), \( \angle BAC = 45^\circ\). \(D\) is a point on \(BC\) such that \(AD\) is perpendicular to \(BC\). If \(BD = 3\) and \(DC = 2\), and the area of the triangle \(ABC\) is \(x\), find the value of \(x\).

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