+273 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.
