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if for G centroid, AB+GC = AC+GB, then the triangle is isosceles

Source: Spanish Mathematical Olympiad 1996 P2

July 31, 2018
geometryisoscelesCentroid

Problem Statement

Let GG be the centroid of a triangle ABCABC. Prove that if AB+GC=AC+GBAB+GC = AC+GB, then the triangle is isosceles
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