MathDB
Inscribed Sphere

Source: AIME 2001 #12

December 6, 2005
geometry3D geometryspheretetrahedroninradiuspyramidincenter

Problem Statement

A sphere is inscribed in the tetrahedron whose vertices are A=(6,0,0),B=(0,4,0),C=(0,0,2),A=(6,0,0), B=(0,4,0), C=(0,0,2), and D=(0,0,0).D=(0,0,0). The radius of the sphere is m/n,m/n, where mm and nn are relatively prime positive integers. Find m+n.m+n.
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