MathDB
5-gon pyramid, longest edge inequality

Source: Bulgaria 1978 P6

June 17, 2021
geometry3D geometrypyramidinequalitiesGeometric Inequalities

Problem Statement

The base of the pyramid with vertex SS is a pentagon ABCDEABCDE for which BC>DEBC>DE and AB>CDAB>CD. If ASAS is the longest edge of the pyramid prove that BS>CSBS>CS.
Jordan Tabov
Back to ProblemsView on AoPS