Difference between revisions of "1999 AIME Problems/Problem 12"

 
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== Problem ==
 
== Problem ==
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The inscribed circle of triangle <math>\displaystyle ABC</math> is tangent to <math>\displaystyle \overline{AB}</math> at <math>\displaystyle P_{},</math>  and its radius is 21.  Given that <math>\displaystyle AP=23</math> and <math>\displaystyle PB=27,</math> find the perimeter of the triangle.
  
 
== Solution ==
 
== Solution ==
  
 
== See also ==
 
== See also ==
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* [[1999_AIME_Problems/Problem_11|Previous Problem]]
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* [[1999_AIME_Problems/Problem_13|Next Problem]]
 
* [[1999 AIME Problems]]
 
* [[1999 AIME Problems]]

Revision as of 01:06, 22 January 2007

Problem

The inscribed circle of triangle $\displaystyle ABC$ is tangent to $\displaystyle \overline{AB}$ at $\displaystyle P_{},$ and its radius is 21. Given that $\displaystyle AP=23$ and $\displaystyle PB=27,$ find the perimeter of the triangle.

Solution

See also