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In the given figure, a triangle ABC is d...

In the given figure, a triangle `ABC` is drawn to circuscribe a circle of radius `3cm`, such that the segments `BD` and `DC` into which `BC` is divided by the point of contact `D` are of lengths `6cm` and `9cm` respectively. If the area of `DeltaABC=54cm^(2)` then find the lengths of sides `AB` and `AC`.

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