In triangle PQR, PQ=13 , QR=14 , andPR=15 . Let M be the midpoint of QR . Find PM.
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Law of Cosines on triangle PQM
PQ^2 + PM^2 - QM^2 = 2*PQ*PM*cosQPM
Law of Cosines on triangle RPM
PR^ 2+ PM^2 - RM^2 = 2*PR*PM*cosRPM
==> PM = 7*sqrt(3)