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Determine all possible values...

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December 9, 2010
pigeonhole principleratiogeometry unsolvedgeometry

Problem Statement

Let A,B,C,DA, B, C, D be four distinct points in the plane such that the length of the six line segments AB,AC,AD,BC,BD,CDAB, AC, AD, BC, BD, CD form a 22-element set a,b{a, b}. If a>ba > b, determine all the possible values of ab\frac ab.
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