olymmath

HMMT 2025 G10

  • Geometry
  • Answer

A plane P\mathcal{P} intersects a rectangular prism at a hexagon which has side lengths 45, 66, 63, 55, 54, and 77, in that order. Compute the distance from the center of the rectangular prism to P\mathcal{P} .

Dataset text NuminaMath olympiads. Quoted with source.

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\sqrt{\frac{95}{24}}

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