Difference between revisions of "2000 AIME I Problems/Problem 12"

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== Solution ==
 
== Solution ==
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{{solution}}
  
 
== See also ==
 
== See also ==
 
* [[2000 AIME I Problems]]
 
* [[2000 AIME I Problems]]

Revision as of 19:15, 23 September 2007

Problem

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

Solution

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See also