Difference between revisions of "2002 AIME II Problems/Problem 14"
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== Problem == | == Problem == | ||
| + | The perimeter of triangle <math>APM</math> is <math>152,</math> and the angle <math>PAM</math> is a right angle. A circle of radius <math>19</math> with center <math>O</math> on <math>\overline{AP}</math> is drawn so that it is tangent to <math>\overline{AM}</math> and <math>\overline{PM}.</math> Given that <math>OP = m/n,</math> where <math>m</math> and <math>n</math> are relatively prime positive integers, find <math>m + n.</math> | ||
== Solution == | == Solution == | ||
Revision as of 07:05, 8 October 2007
Problem
The perimeter of triangle 
is 
and the angle 
is a right angle. A circle of radius 
with center 
on 
is drawn so that it is tangent to 
and 
Given that 
where 
and 
are relatively prime positive integers, find 
Solution
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