In triangle $PQR,$ $M$ is the midpoint of $\overline{QR}.$ Find $PM.$ PQ = 5, PR = 8, QR = 11
By the Pythagorean Theorem, PQ2+PR2=QR2, so 52+82=112.
Thus △PQR is a right triangle where PQ is the hypotenuse, so by the Pythagorean Theorem, PM2=(2PR)2=(28)2=16.
Hence, PM=16=4.