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( 42 + 72 ) = √65
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