OMTEX: 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.

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.