Difference between revisions of "2001 AIME I Problems/Problem 12"

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== Problem ==
 
== Problem ==
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A sphere is inscribed in the tetrahedron whose vertices are <math>A = (6,0,0), B = (0,4,0), C = (0,0,2),</math> and <math>D = (0,0,0).</math>  The radius of the sphere is <math>m/n,</math> where <math>m</math> and <math>n</math> are relatively prime positive integers.  Find <math>m + n.</math>
  
 
== Solution ==
 
== Solution ==
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{{solution}}
  
 
== See also ==
 
== See also ==
* [[2001 AIME I Problems/Problem 11 | Previous Problem]]
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{{AIME box|year=2001|n=I|num-b=11|num-a=13}}
 
 
* [[2001 AIME I Problems/Problem 13 | Next Problem]]
 
 
 
* [[2001 AIME I Problems]]
 

Revision as of 23:25, 19 November 2007

Problem

A sphere is inscribed in the tetrahedron whose vertices are $A = (6,0,0), B = (0,4,0), C = (0,0,2),$ and $D = (0,0,0).$ The radius of the sphere is $m/n,$ where $m$ and $n$ are relatively prime positive integers. Find $m + n.$

Solution

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See also

2001 AIME I (ProblemsAnswer KeyResources)
Preceded by
Problem 11
Followed by
Problem 13
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All AIME Problems and Solutions