MathDB
Pyramid with base on cylic pentagon

Source:

January 11, 2011
geometry3D geometrypyramidgeometry proposed

Problem Statement

A pentagon ABCDEABCDE inscribed in a circle for which BC<CDBC<CD and AB<DEAB<DE is the base of a pyramid with vertex SS. If ASAS is the longest edge starting from SS, prove that BS>CSBS>CS.
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