KöMaL 2023 B5307

The area of an acute-angled triangle is $T$ , its inradius is $r$ , and its circumradius is $R$ . Show that $\sqrt{3}T \le {(r+R)}^2.$

Official text KöMaL. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.