HMMT 2005 U7
- Guts
- Answer
Five people of different heights are standing in line from shortest to tallest. As it happens, the tops of their heads are all collinear; also, for any two successive people, the horizontal distance between them equals the height of the shorter person. If the shortest person is 3 feet tall and the tallest person is 7 feet tall, how tall is the middle person, in feet?
Dataset text NuminaMath olympiads. Quoted with source.
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\sqrt{21}
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