# 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 .