Difference between revisions of "2000 AIME II Problems/Problem 11"
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{{AIME box|year=2000|n=II|num-b=10|num-a=12}} | {{AIME box|year=2000|n=II|num-b=10|num-a=12}} | ||
Revision as of 14:14, 29 March 2008
Problem
The coordinates of the vertices of isosceles trapezoid 
are all integers, with 
and 
. The trapezoid has no horizontal or vertical sides, and 
and 
are the only parallel sides. The sum of the absolute values of all possible slopes for is 
, where 
and 
are relatively prime positive integers. Find 
.
Solution
The answer is 
| 2000 AIME II (Problems • Answer Key • Resources) | ||
| Preceded by Problem 10 |
Followed by Problem 12 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
| All AIME Problems and Solutions | ||
