What I've done so far is extend a lie from point Q to R to form an isoceles triangle. Then using the side lengths given in the problem, I found that line QR was \sqrt{193}. I don't really know what to do from there. Should I form a ratio for triangle QNR and ORN since they appear to be similar?

gwenspooner85 Jul 29, 2020

#1**0 **

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 = 5*sqrt(2).

Guest Jul 29, 2020