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2005 AMC 10B Question 14

AMC10 · 2005 AMC 10B

Question 14

Equilateral $\triangle ABC$ has side length $2,$ $M$ is the midpoint of $\overline{AC},$ and $C$ is the midpoint of $\overline{BD}.$ What is the area of $\triangle CDM?$

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