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M is the midpoint of \overline{AB} and N is the midpoint of \overline{AC}, and $T$ is the intersection of $\overline{BN}$ and $\overline{CM}$, as shown. If $\overline{BN} \perp \overline{AC},$ $BM = 12$, and $BC = 18$, then find $CT$.

 
 Dec 22, 2024

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