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

(Solution)
m
Line 6: Line 6:
  
 
== See also ==
 
== See also ==
* [[2000 AIME I Problems]]
+
{{AIME box|year=2000|n=I|num-b=11|num-a=13}}

Revision as of 18:39, 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

This problem needs a solution. If you have a solution for it, please help us out by adding it.

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