Triangle

In triangle ABC, M is the midpoint of $\overline{AB}.$ Let D be the point on $\overline{BC}$ such that $\overline{AD}$ bisects $\angle BAC$, and let the perpendicular bisector of $\overline{AB}$ intersect $\overline{AD}$ at E. If AB = 44, AC = 30, and ME = 10, then find the area of triangle ACE.