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Australian AMC 2013 - Intermediate Question 15

AMC AUSTRALIA · Australian AMC 2013 - Intermediate

Question 15

Three line segments of lengths 1, a and 2a are the sides of a triangle. Which of the following defines all possible values of a?
  1. $\frac13\lt a\lt 1$
  2. $0\lt a\lt \frac13$
  3. $a\lt 1$
  4. for all $a\gt 0$
  5. for no a