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

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== See also ==
 
== See also ==
* [[2000 AIME I Problems]]
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{{AIME box|year=2000|n=I|num-b=11|num-a=13}}

Revision as of 19:39, 11 November 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

2000 AIME I (ProblemsAnswer KeyResources)
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
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