Difference between revisions of "2017 AMC 10A Problems/Problem 17"
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Distinct points <math>P</math>, <math>Q</math>, <math>R</math>, <math>S</math> lie on the circle <math>x^2+y^2=25</math> and have integer coordinates. The distances <math>PQ</math> and <math>RS</math> are irrational numbers. What is the greatest possible value of the ratio <math>\frac{PQ}{RS}</math>? | Distinct points <math>P</math>, <math>Q</math>, <math>R</math>, <math>S</math> lie on the circle <math>x^2+y^2=25</math> and have integer coordinates. The distances <math>PQ</math> and <math>RS</math> are irrational numbers. What is the greatest possible value of the ratio <math>\frac{PQ}{RS}</math>? | ||
Revision as of 17:00, 8 February 2017
Distinct points 
, 
, 
, 
lie on the circle 
and have integer coordinates. The distances 
and 
are irrational numbers. What is the greatest possible value of the ratio 
?
