2011 AIME II Problems/Problem 10
Problem:
A circle with center O has radius 25. Chord 
of length 30 and chord 
of length 14 intersect at point P. The distance between the midpoints of the two chords is 12. The quantity 
can be expressed as 
, where m and n are relatively prime positive integers. Find the remainder when m + n is divided by 1000.
