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1993 AMC 12 Question 29

AMC12 · 1993 AMC 12

Question 29

Which of the following sets could NOT be the lengths of the external diagonals of a right rectangular prism [a “box”]? (An external diagonal is a diagonal of one of the rectangular faces of the box.)
  1. $\{4,5,6\}$
  2. $\{4,5,7\}$
  3. $\{4,6,7\}$
  4. $\{5,6,7\}$
  5. $\{5,7,8\}$