MathDB
right triangle if a^2 + b^2 = 2cR

Source: 1992 Swedish Mathematical Competition p5

April 2, 2021
right triangleright anglegeometrycircumradius

Problem Statement

A triangle has sides a,b,ca, b, c with longest side cc, and circumradius RR. Show that if a2+b2=2cRa^2 + b^2 = 2cR, then the triangle is right-angled.
Back to ProblemsView on AoPS