MathDB
inscribed 3/4-gon, maximize sum of squares of sides

Source: France 1992 P2

May 13, 2021
geometry

Problem Statement

Let C\mathcal C be a circle of radius 11. (a) Determine the triangles ABCABC inscribed in C\mathcal C for which AB2+BC2+CA2AB^2+BC^2+CA^2 is maximal. (b) Determine the quadrilaterals ABCDABCD inscribed in C\mathcal C for which AB2+AC2+AD2+BC2+BD2+CD2AB^2+AC^2+AD^2+BC^2+BD^2+CD^2 is maximal.
Back to ProblemsView on AoPS