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 $m+n$ .

Solution

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2000 AIME I (Problems • Answer Key • Resources)
Preceded by Problem 11	Followed by Problem 13
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15
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2000 AIME I Problems/Problem 12

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