Area of Triangle

Level pending

In triangle ABC, points D, E, and F are on the sides BC, CA and AB such that \(BD:DC=CE:EA=AF:FB=1:2\). X is the intersection of AD and BE, Y is the intersection of BE and CF, Z is the intersection of CF and AD. If\(XY=13, YZ=14, ZX=15\), what is the area of the triangle ABC?

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