HMMT 2025 G2
- Geometry
- Answer
In a two-dimensional cave with a parallel floor and ceiling, two stalactites of lengths 16 and 36 hang perpendicularly from the ceiling, while two stalagmites of heights 25 and 49 grow perpendicularly from the ground. If the tips of these four structures form the vertices of a square in some order, compute the height of the cave.
Dataset text NuminaMath olympiads. Quoted with source.
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