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(107) 1

Part of 1986 Tournament Of Towns

Problems(1)

TOT 107 1986 Spring J1 3 out of 4 regions have equal areas

Source:

8/29/2019
Through vertices AA and BB of triangle ABCABC are constructed two lines which divide the triangle into four regions (three triangles and one quadrilateral). It is known that three of them have equal area. Prove that one of these three regions is the quadrilateral .
(G . Galperin , A . Savin, Moscow)
geometryequal areasareas