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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.

 

 Aug 17, 2020
 #1
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By the median theorem ON = QN * 1/3 = 4

 

NR = PR / 2 = 7

 

OR = sqrt( 42 + 72 ) = √65

 Aug 19, 2020
 #2
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thanks!! :)

Guest Aug 19, 2020

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