\(\bigtriangleup ABC\) is a triangle such that \(AC = 13\) units,\(AB = 20\) units and \(BC = 12\) units. \(D\) is a point on BC such that \(BD = DC\). A square \(ADEF\) is drawn with a side \(AD\).

If the area of the triangle \(CDE\) is equal to \( \dfrac GH \text{ unit}^2\), where \(G\) and \(H\) are coprime positive integers, find \(G+H\).

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