Difference between revisions of "2000 AIME I Problems/Problem 12"
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== 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 
, 
, 
, and 
. The radius of the sphere is 
, where 
and 
are relatively prime positive integers. Find 
.
