2000 AIME II Problem 8

In trapezoid ABCD, leg \overline{BC} is perpendicular to bases \overline{AB} and \overline{CD}, and diagonals \overline{AC} and \overline{BD} are perpendicular. Given that AB=\sqrt{11} and AD=\sqrt{1001}, find BC^2.

Leading zeroes must be inputted, so if your answer is 34, then input 034

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.