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One Property of the Equilateral Triangle

Author:
Irina Boyadzhiev
Topic:
Equilateral Triangles
Given is an equilateral triangle ABC and a point D on the ray CB. Let x, y, z be the distances from the point D to the vertices A, B and C, respectively. Prove that if point D is between A and B, ,and if point D is not between A and B, then . See: Math. Mag. 88 (2015) 186

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