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regular triangles on side of triangle - All-Russian MO 2002 Regional (R4) 8.4

Source:

September 17, 2024
geometryEquilateralequilaterals

Problem Statement

Given a triangle ABCABC with pairwise distinct sides. on his on the sides, regular triangles ABC1ABC_1, BCA1BCA_1, CAB1CAB_1. are constructed externally. Prove that triangle A1B1C1A_1B_1C_1 cannot be regular.
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