In triangle $ABC,$ $M$ is the midpoint of $\overline{AB}.$ Let $D$ be the point on $\overline{BC}$ such that $\overline{AD}$ bisects $\angle

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