MathDB

2

Part of 1996 Spain Mathematical Olympiad

Problems(1)

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

Source: Spanish Mathematical Olympiad 1996 P2

7/31/2018
Let GG be the centroid of a triangle ABCABC. Prove that if AB+GC=AC+GBAB+GC = AC+GB, then the triangle is isosceles
geometryisoscelesCentroid