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In triangle $PQR,$ $M$ is the midpoint of $\overline{QR}.$ Find $PM.$
PQ = 5, PR = 8, QR = 11

 Nov 29, 2023
 #1
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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​.

 Nov 29, 2023

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