On a hot Saturday, Ananya and her 4 friends decide to go to their local pool. Burning up from the heat, they all immediately jump into the pool and start swimming around. The pool is a square with dimensions 6 feet by 6 feet. Prove that at any point while these 5 friends are swimming in the pool, there is some pair of friends that is of distance at most 3√2 feet away from each other.
On a hot Saturday, Ananya and her 4 friends decide to go to their local pool. Burning up from the heat, they all immediately jump into the pool and start swimming around. The pool is a square with dimensions 6 feet by 6 feet. Prove that at any point while these 5 friends are swimming in the pool, there is some pair of friends that is of distance at most 3√2 feet away from each other.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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On a hot Saturday, Ananya and her 4 friends decide to go to their local pool. Burning up from
the heat, they all immediately jump into the pool and start swimming around. The pool is
a square with dimensions 6 feet by 6 feet. Prove that at any point while these 5 friends are
swimming in the pool, there is some pair of friends that is of distance at most 3√2 feet away
from each other.
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