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

 
(Problem)
Line 1: Line 1:
 
== Problem ==
 
== Problem ==
 +
A sphere is inscribed in the tetrahedron whose vertices are <math>\mathrm {A}=(6,0,0)</math>, <math>\mathrm {B}=(0,4,0)</math>, <math>\mathrm {C}=(0,0,2)</math>,  and <math>\mathrm {D}=(0,0,0)</math>. The radius of the sphere is <math>\dfrac{m}{n}</math>, where <math>m</math> and <math>n</math> are relatively prime positive integers. Find <math>m+n</math>.
  
 
== Solution ==
 
== Solution ==

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

See also

Invalid username
Login to AoPS