Question 1127227: In △MNP, point Q is on side MN so that PM=PQ. Prove that PN>PM.
Answer by greenestamps(13203)   (Show Source):
You can put this solution on YOUR website!
What kind of proof do you need?
M, Q, and N are collinear, with Q between M and N.
Triangle QPM is isosceles (PM=PQ).
That makes PN greater than PQ.
If you need a formal proof, it looks as if you can use trigonometry and the law of sines.
If you need a formal two-column proof using Euclidean geometry, I'm not sure how you would do it....
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