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MMO 344 Moscow MO 1956 3 nodes of a graph paper, acute

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August 19, 2019
graphacutegeometrycombinatorial geometry

Problem Statement

* Let A,B,CA, B, C be three nodes of a graph paper. Prove that if △ABC\vartriangle ABC is an acute one, then there is at least one more node either inside △ABC\vartriangle ABC or on one of its sides.
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