MathDB
BS > CS, when pentagon ABCDE is the base of a pyramid with apex S

Source: Singapore Open Math Olympiad 2003 2nd Round p4 SMO

April 2, 2020
3D geometryGeometric Inequalitiesgeometrypentagonpyramid

Problem Statement

The pentagon ABCDEABCDE which is inscribed in a circle with AB<DEAB < DE is the base of a pyramid with apex SS. If the longest side from SS is SASA, prove that BS>CSBS > CS.
Back to ProblemsView on AoPS