IMO 2018 Shortlist G3
A ir le ω of radius 1 is given. A olle tion T of triangles is alled good, if the following onditions hold: piq ea h tria...
Category: Geometry
Problem
A ir le ω of radius 1 is given. A olle tion T of triangles is alled good, if the following onditions hold: piq ea h triangle from T is ins ribed in ω; piiq no two triangles from T have a ommon interior point. Determine all positive real numbers t su h that, for ea h positive integer n, there exists a good olle tion of n triangles, ea h of perimeter greater than t. (South Afri a)