Question 77
Let $A$, $B$, $C$, and $D$ be four different points in the plane. Three of the line segments $AB$, $AC$, $AD$, $BC$, $BD$, and $CD$ have length $a$. The other three have length $b$, where $b \gt a$. Determine all possible values of the quotient $\frac{b}{a}$.