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1990 AMC 12 Question 27

AMC12 · 1990 AMC 12

Question 27

Which of these triples could **not** be the lengths of the three altitudes of a triangle?
  1. $1,$ $\sqrt3,$ $2$
  2. $3,$ $4,$ $5$
  3. $5,$ $12,$ $13$
  4. $7,$ $8,$ $\sqrt{113}$
  5. $8,$ $15,$ $17$