MathDB

1

Part of 1977 IMO Longlists

Problems(1)

Pyramid with base on cylic pentagon

Source:

1/11/2011
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.
geometry3D geometrypyramidgeometry proposed