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2014 AMC 12B Question 21

AMC12 · 2014 AMC 12B

Question 21

In the figure, $ABCD$ is a square of side length $1.$ The rectangles $JKHG$ and $EBCF$ are congruent. What is $BE?$

Question illustration
  1. $\dfrac12(\sqrt{6} - 2)$
  2. $\dfrac14$
  3. $2 - \sqrt{3}$
  4. $\dfrac{\sqrt{3}}{6}$
  5. $1 - \dfrac{\sqrt{2}}{2}$