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 are intersections of the lines joining vertices to midpoints of the opposite sides and a,b,c,d areas of portions of the quadrilateral as shown in the figures. Find the area of quadrilateral XYZT in terms of a,b,c and d?
Boidushya Bhattacharya , 8 Years ago
Grade 9