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.
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter4: Polynomials
Section4.9: Area Problems
Problem 8P
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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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