In triangle ABC, angle C has a measure of 60 degrees. Point D lies on side AC so that BD bisects angle B and BD = 1. Similarly, point E lies on side BC so that AE bisects angle A and AE = 2.

Find the area of triangle ABC.

The required area is approximately 1.07735027 (correct to 8 places of decimals.)

*Edited on ***January 7, 2009, 3:49 pm**