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In triangle ABO, M is the midpoint of \overline{AB}.  Points C, D, and N lie on line segments $\overline{AO},$ $\overline{BO},$ and $\overline{MO}$ extended, respectively, so that $DO = BO,$ $NO = MO,$ and $CO = AO.$  If $K$ is the area of triangle $ABO,$ then what is the area of triangle CDN?

 
 Oct 30, 2024

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