Problem: A circle is inscribed in quadrilateral ABCDABCDABCD, tangent to AB‾\overline{AB}AB at PPP and to CD‾\overline{CD}CD at QQQ. Given that AP=19AP=19AP=19, PB=26PB=26PB=26, CQ=37CQ=37CQ=37, and QD=23QD=23QD=23, find the square of the radius of the circle.
Solution:
The problems on this page are the property of the MAA's American Mathematics Competitions