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2000 AMC 10 Question 10

AMC10 · 2000 AMC 10

Question 10

The sides of a triangle with positive area have lengths $4,$ $6,$ and $x.$ The sides of a second triangle with positive area have lengths $4,$ $6,$ and $y.$ What is the smallest positive number that is not a possible value of $|x - y|?$
  1. $2$
  2. $4$
  3. $6$
  4. $8$
  5. $10$