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TA, TB,TC are sidelengths of triangle if T interior of equilateral ABC

Source: Indonesia INAMO Shortlist 2017 G4 https://artofproblemsolving.com/community/c1101409_indonesia_shortlist__geometry

November 15, 2021
geometryEquilateraltriangle inequality

Problem Statement

Inside the equilateral triangle ABCABC lies the point TT. Prove that TATA, TBTB and TCTC are the lengths of the sides of a triangle.
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