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\(\perp\)PR$, QN = 12, and PR = 14, then find OR.

By the median theorem ON = QN * 1/3 = 4

NR = PR / 2 = 7

OR = sqrt( 4^{2} + 7^{2} ) = √65

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