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Omni-MATH / 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.

Problem

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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.

Plain-text mathematical notation (without MathML)

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.

Original LaTeX notation

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.

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task_id: baa33352-c2e6-5305-b51e-8ce29495c900
task_key: test--baa33352-c2e6-5305-b51e-8ce29495c900
task_revision_id: 4
config / split: / test

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