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2001 AMC 12 Question 15

AMC12 · 2001 AMC 12

Question 15

An insect lives on the surface of a regular tetrahedron with edges of length $1.$ It wishes to travel on the surface of the tetrahedron from the midpoint of one edge to the midpoint of the opposite edge. What is the length of the shortest such trip? (Note: Two edges of a tetrahedron are *opposite* if they have no common endpoint.)

Question illustration
  1. $\dfrac{1}{2}\sqrt{3}$
  2. $1$
  3. $\sqrt{2}$
  4. $\dfrac{3}{2}$
  5. $2$