MathDB
half of triangles formed by n points on a circle are acute

Source: 2009 Sharygin Geometry Olympiad Final Round problem 5 grade 9

July 26, 2018
geometrycombinatorial geometrypointsacute triangle

Problem Statement

Let nn points lie on the circle. Exactly half of triangles formed by these points are acute-angled. Find all possible nn.
(B.Frenkin)
Back to ProblemsView on AoPS