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computational with areas of triangles inside a square

Source: 1996 Estonia National Olympiad Final Round grade 10

March 11, 2020
triangle areaareasgeometrysquare

Problem Statement

Let K,L,MK, L, M, and NN be the midpoints of CD,DA,ABCD,DA,AB and BCBC of a square ABCDABCD respectively. Find the are of the triangles AKB,BLC,CMDAKB, BLC, CMD and DNADNA if the square ABCDABCD has area 11.
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