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3 points A',B',C' on sides of acute ABC such that it's longest side is minimal

Source: 2011 Sharygin Geometry Olympiad Correspondence Round P24

April 7, 2019
geometryMinimalSides of a triangle

Problem Statement

Given is an acute-angled triangle ABCABC. On sides BC,CA,ABBC, CA, AB, find points A′,B′,C′A', B', C' such that the longest side of triangle A′B′C′A'B'C' is minimal.
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