Education: In Figure 4, a ∆ABC is drawn to circumscribe a circle of radius 3 cm, such that the segments BD and DC are respectively of lengths 6 cm and 9 cm. If the area of ∆ ABC is 54 cm2, then find the lengths of sides AB and AC.

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In Figure 4, a ∆ABC is drawn to circumscribe a circle of radius 3 cm, such that the segments BD and DC are respectively of lengths 6 cm and 9 cm. If the area of ∆ ABC is 54 cm2, then find the lengths of sides AB and AC.

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