Difference between revisions of "1992 AIME Problems/Problem 9"
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== Problem == | == Problem == | ||
| + | Trapezoid <math>ABCD^{}_{}</math> has sides <math>AB=92^{}_{}</math>, <math>BC=50^{}_{}</math>, <math>CD=19^{}_{}</math>, and <math>AD=70^{}_{}</math>, with <math>AB^{}_{}</math> parallel to <math>CD^{}_{}</math>. A circle with center <math>P^{}_{}</math> on <math>AB^{}_{}</math> is drawn tangent to <math>BC^{}_{}</math> and <math>AD^{}_{}</math>. Given that <math>AP^{}_{}=\frac mn</math>, where <math>m^{}_{}</math> and <math>n^{}_{}</math> are relatively prime positive integers, find <math>m+n^{}_{}</math>. | ||
== Solution == | == Solution == | ||
Revision as of 21:34, 10 March 2007
Problem
Trapezoid 
has sides 
, 
, 
, and 
, with 
parallel to 
. A circle with center 
on is drawn tangent to 
and 
. Given that 
, where 
and 
are relatively prime positive integers, find 
.
Solution
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