2000 AIME I Problems/Problem 12

Revision as of 19:15, 23 September 2007 by 1=2 (talk | contribs) (Solution)

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

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