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.

Guest Apr 18, 2020

edited by
Guest
Apr 18, 2020

edited by Guest Apr 18, 2020

edited by Guest Apr 18, 2020

#3**+3 **

QN = 12 PR = 14 PN = 7

F is a foot of the altitude from M to PN

Find angle QPN using QN and PN

Find QP and MP using the Pythagorean theorem

Find MF and PF using angle QPN and MP

Find angle MRF using MF and FR

And finally, find OR using NR and angle MRF

Good luck!

Dragan Apr 18, 2020

edited by
Guest
Apr 18, 2020