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

## 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 $m+n$.