SE-SKOLORNAS 1992 Problem 5

A triangle has sides $a, b, c$ with longest side $c$ , and circumradius $R$ . Show that if $a^2 + b^2 = 2cR$ , then the triangle is right-angled.

Dataset text AI-MO AoPS. 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.