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2018 AMC 12A Question 11

AMC12 · 2018 AMC 12A

Question 11

A paper triangle with sides of lengths $3,$ $4,$ and $5$ inches, as shown, is folded so that point $A$ falls on point $B.$ What is the length in inches of the crease?

Question illustration
  1. $1 + \tfrac12 \sqrt{2}$
  2. $\sqrt{3}$
  3. $\tfrac{7}{4}$
  4. $\tfrac{15}{8}$
  5. $2$