15th ibmo - venezuela 2000/q6.
Source: Spanish Communities
April 15, 2006
geometrycombinatorics unsolvedcombinatorics
Problem Statement
A convex hexagon is called pretty if it has four diagonals of length 1, such that their endpoints are all the vertex of the hexagon.
() Given any real number with find a pretty hexagon with area equal to
() Show that the area of any pretty hexagon is less than 1.