Difference between revisions of "2011 AIME II Problems/Problem 10"
(Created page with 'Problem: A circle with center O has radius 25. Chord <math>\overline{AB}</math> of length 30 and chord <math>\overline{CD}</math> of length 14 intersect at point P. The distance…') |
(No difference)
|
Revision as of 11:50, 31 March 2011
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.