Difference between revisions of "2009 AIME I Problems/Problem 12"
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== Solution == | == Solution == | ||
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== See also == | == See also == | ||
{{AIME box|year=2009|n=I|num-b=11|num-a=13}} | {{AIME box|year=2009|n=I|num-b=11|num-a=13}} | ||
Revision as of 15:57, 21 March 2009
Problem
In right 
with hypotenuse 
, 
, 
, and 
is the altitude to . Let 
be the circle having as a diameter. Let 
be a point outside such that 
and 
are both tangent to circle . The ratio of the perimeter of 
to the length 
can be expressed in the form 
, where 
and 
are relatively prime positive integers. Find 
.
Solution
See also
| 2009 AIME I (Problems • Answer Key • Resources) | ||
| Preceded by Problem 11 |
Followed by Problem 13 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
| All AIME Problems and Solutions | ||
