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In triangle ABC, M is the midpoint of \overline{BC}, E is the midpoint of \overline{AB}, and D is the midpoint of \overline{AM}.  Point T is the intersection of \overline{BD} and \overline{ME}.  Find the area of triangle XYZ if [ABC] = 14.

 
 Dec 5, 2025
 #1
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The answer is 20/7.

 Dec 5, 2025

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