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(ACE)=(BDF) if ABCDEF is convex with oppoite sides //

Source: 1958 Hungary - Kürschák Competition p3

October 10, 2022
geometryhexagonequal areas

Problem Statement

The hexagon ABCDEFABCDEF is convex and opposite sides are parallel. Show that the triangles ACEACE and BDFBDF have equal area
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