SOLUTION: 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 DMT if [ABC] =150.

Question 1150120: 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 DMT if [ABC] =150.
Answer by foofy(2) (Show Source): You can put this solution on YOUR website!
Since M is the midpoint of BC, the area of triangle ABM is half the area of triangle ABC, which makes it 150/2 = 75. Since E is the midpoint of AB and D is the midpoint of AM, the area of triangle BTM is 1/4 the area of triangle ABM.
Therefore, the area of triangle DMT is 75/4.
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