Difference between revisions of "1992 AIME Problems/Problem 9"

m
m (See also: box cat)
Line 6: Line 6:
  
 
== See also ==
 
== See also ==
* [[1992 AIME Problems/Problem 8 | Previous Problem]]
+
{{AIME box|year=1992|num-b=8|num-a=10}}
  
* [[1992 AIME Problems/Problem 10 | Next Problem]]
+
[[Category:Intermediate Geometry Problems]]
 
 
* [[1992 AIME Problems]]
 

Revision as of 15:59, 11 March 2007

Problem

Trapezoid $ABCD^{}_{}$ has sides $AB=92^{}_{}$, $BC=50^{}_{}$, $CD=19^{}_{}$, and $AD=70^{}_{}$, with $AB^{}_{}$ parallel to $CD^{}_{}$. A circle with center $P^{}_{}$ on $AB^{}_{}$ is drawn tangent to $BC^{}_{}$ and $AD^{}_{}$. Given that $AP^{}_{}=\frac mn$, 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

1992 AIME (ProblemsAnswer KeyResources)
Preceded by
Problem 8
Followed by
Problem 10
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
All AIME Problems and Solutions