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Omni-MATH / A point in three-space has distances 2,6,7,8,9 from five of the vertices of a regular octahedron. What is its distance from the sixth vertex?

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problem

A point in three-space has distances 2,6,7,8,92,6,7,8,9 from five of the vertices of a regular octahedron. What is its distance from the sixth vertex?
Plain-text mathematical notation (without MathML)
A point in three-space has distances 2,6,7,8,9 from five of the vertices of a regular octahedron. What is its distance from the sixth vertex?
Original LaTeX notation
A point in three-space has distances $2,6,7,8,9$ from five of the vertices of a regular octahedron. What is its distance from the sixth vertex?

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