DenisGylaev

$M$ 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 $\overline{BN}\perp\overline{AC}$, $BN = 12$, and $AC = 14$, then find $CT$.

THANK YOU FOR TELLING ME THIS. I GOT THE NOTIFICATION THAT SOMEONE ANSWERED MY QUESTION 4 YEARS LATER. U JUST GAVE ME NOSTALGIA. <3 ILoveMathAndILoveHelping