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1974 AMC 12 Question 19

AMC12 · 1974 AMC 12

Question 19

In the adjoining figure $ABCD$ is a square and $CMN$ is an equilateral triangle. If the area of $ABCD$ is one square inch, then the area of $CMN$ in square inches is

Question illustration
  1. $2\sqrt3-3$
  2. $1-\frac{\sqrt3}{3}$
  3. $\frac{\sqrt3}{4}$
  4. $\frac{\sqrt2}{3}$
  5. $4-2\sqrt3$