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1985 USAMO Problems/Problem 3

Revision as of 11:54, 18 July 2016 by 1=2 (talk | contribs) (Created page with "== Problem == Let <math>A,B,C,D</math> denote four points in space such that at most one of the distances <math>AB,AC,AD,BC,BD,CD</math> is greater than <math>1</math>. Determ...")
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Problem

Let $A,B,C,D$ denote four points in space such that at most one of the distances $AB,AC,AD,BC,BD,CD$ is greater than $1$. Determine the maximum value of the sum of the six distances.

Solution

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See Also

1985 USAMO (Problems • Resources)
Preceded by
Problem 2 		Followed by
Problem 4
1 • 2 • 3 • 4 • 5
All USAMO Problems and Solutions

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