Difference between revisions of "2002 AIME II Problems/Problem 14"

m
Line 4: Line 4:
 
== Solution ==
 
== Solution ==
 
{{solution}}
 
{{solution}}
 +
 
== See also ==
 
== See also ==
* [[2002 AIME II Problems/Problem 13 | Previous problem]]
+
{{AIME box|year=2002|n=II|num-b=13|num-a=15}}
* [[2002 AIME II Problems/Problem 15 | Next problem]]
 
* [[2002 AIME II Problems]]
 

Revision as of 13:32, 19 April 2008

Problem

The perimeter of triangle $APM$ is $152,$ and the angle $PAM$ is a right angle. A circle of radius $19$ with center $O$ on $\overline{AP}$ is drawn so that it is tangent to $\overline{AM}$ and $\overline{PM}.$ Given that $OP = m/n,$ where $m$ and $n$ are relatively prime positive integers, find $m + n.$

Solution

This problem needs a solution. If you have a solution for it, please help us out by adding it.

See also

2002 AIME II (ProblemsAnswer KeyResources)
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