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 | + | 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 12:56, 19 April 2008
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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See also
| 2002 AIME II (Problems • Answer Key • Resources) | ||
| Preceded by Problem 13 |
Followed by Problem 15 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
| All AIME Problems and Solutions | ||
