M is the midpoint of PQ and N is the midpoint of PR, and O is the intersection of QN and RM, as shown. If QN is perpendicular PR, QN = 12, and PR = 14, then find OR.

figured it out nvm

OR = sqrt ( ON^{2} + NR^{2} ) = sqrt ( 4^{2} + 7^{2} ) = 8 1/16