Difference between revisions of "2017 AMC 10A Problems/Problem 17"

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Revision as of 17:58, 8 February 2017

Problem 17

Distinct points $P$, $Q$, $R$, $S$ lie on the circle $x^2+y^2=25$ and have integer coordinates. The distances $PQ$ and $RS$ are irrational numbers. What is the greatest possible value of the ratio $\frac{PQ}{RS}$?