A triangle ABC is drawn to circumscribe a circle of radius 2cm such that the segments BD and into which BC is divided by the point of contact D are of lengths 4 cm and 3 cm respectively . If area of the ∆ABC = 21 cm². Find the sides AB and AC.

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In fig. 4, a triangle ABC is drawn to circumscribe a circle of radius 2 cm such that the segments BD and DC into which BC is divided by the point of contact D are of lengths 4 cm and 3 cm respectively. If area of $Δ$ ABC = 21 $c m^{2}$ , then find the lengths of sides AB and AC.

In the given figure, a triangle ABC is drawn to circumscribe a circle of radius 2 cm such that the segments BD and DC into which BC is divided by the point of contact D, are of lengths 4 cm and 3 cm respectively. If the area $Δ$ ABC = 21 $c m^{2}$ then find the lengths of sides AB and AC.