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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 $[ABC] = 50$.

 Oct 29, 2021
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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. 

 Oct 30, 2021

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