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Let A,B,C,D be the vertices of a convex ...

Let A,B,C,D be the vertices of a convex quadrilateral; K,L,M,N the midpoints of the sides; X,Y,Z,T, intersection of the lines joining vertices to midpoints of opposite sides and a,b,c,d areas of portion of the figure in quadrilateral. find the area of quadrilateral XYZT in terms of a,b,c and d.

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