2000 OIM Problems/Problem 6
Problem
A convex hexagon is called "pretty" if it has four diagonals of length 1, whose ends include all the vertices of the hexagon.
1. Given any number 
, greater than 0 and less than or equal to 1, find a pretty hexagon of area .
2. Show that the area of any pretty hexagon is less than 3/2.
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com
Solution
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