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4 points, 6 fixed equal distances, ratio of distances ?

Source: Nordic Mathematical Contest 1997 #3

October 4, 2017
ratiodistancegeometrypoint set

Problem Statement

Let A,B,CA, B, C, and DD be four different points in the plane. Three of the line segments AB,AC,AD,BC,BDAB, AC, AD, BC, BD, and CDCD have length aa. The other three have length bb, where b>ab > a. Determine all possible values of the quotient ba\frac{b}{a}. .
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