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rigid flat triangle T with area <4, may be inserted in triangular hole of area 3

Source: 2011 Oral Moscow Geometry Olympiad grades 10-11 p4

April 8, 2020
geometryarea of a triangleareas3D geometry

Problem Statement

Prove that any rigid flat triangle TT of area less than 44 can be inserted through a triangular hole QQ with area 33.