Question 23Isosceles trapezoid $ABCD$ has parallel sides $\overline{AD}$ and $\overline{BC},$ with $BC < AD$ and $AB = CD.$ There is a point $P$ in the plane such that $PA=1,$ $PB=2,$ $PC=3,$ and $PD=4.$ What is $\tfrac{BC}{AD}?$$\dfrac{1}{4}$$\dfrac{1}{3}$$\dfrac{1}{2}$$\dfrac{2}{3}$$\dfrac{3}{4}$