Difference between revisions of "2000 AIME II Problems/Problem 11"

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== Solution ==
 
== Solution ==
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The answer is <math>\boxed 131</math>
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{{AIME box|year=2000|n=II|num-b=10|num-a=12}}
 
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Revision as of 15:14, 29 March 2008

Problem

The coordinates of the vertices of isosceles trapezoid $ABCD$ are all integers, with $A=(20,100)$ and $D=(21,107)$. The trapezoid has no horizontal or vertical sides, and $\overline{AB}$ and $\overline{CD}$ are the only parallel sides. The sum of the absolute values of all possible slopes for $\overline{AB}$ is $m/n$, where $m$ and $n$ are relatively prime positive integers. Find $m+n$.

Solution

The answer is $\boxed 131$

Template:Incomplete

2000 AIME II (ProblemsAnswer KeyResources)
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