MathDB
Prove that the distance between circumcentres is > 2019

Source: 2019 Canadian Mathematical Olympiad Problem 1

March 30, 2019
Circumcenterdistancegeometry

Problem Statement

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
Back to ProblemsView on AoPS