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1

Part of 2019 Canada National Olympiad

Problems(1)

Prove that the distance between circumcentres is > 2019

Source: 2019 Canadian Mathematical Olympiad Problem 1

3/30/2019
Points A,B,CA,B,C are on a plane such that AB=BC=CA=6AB=BC=CA=6. At any step, you may choose any three existing points and draw that triangle's circumcentre. Prove that you can draw a point such that its distance from an previously drawn point is: (a)(a) greater than 7 (b)(b) greater than 2019
Circumcenterdistancegeometry