Point D is the midpoint of median AM of triangle ABC. Point E is the midpoint of AB, and point T is the intersection of BD and ME. Find the area of triangle DME if $[ABC] = 50$.
+1694 Let ABC be the right-angled isosceles triangle with angle A = 90 degrees.
AM = BM = √50
MD = 1/2(AM)
Angle AME = 45º
Tangent of angle BDM = 2
Find TD and TM, and then using Heron's formula, calculate the area of triangle DME.
