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2018 AMC 10A Question 13

AMC10 · 2018 AMC 10A

Question 13

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. $1+\dfrac{1}{2} \sqrt{2}$
  2. $\sqrt{3}$
  3. $\dfrac{7}{4}$
  4. $\dfrac{15}{8}$
  5. $2$