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In triangle PQR, PQ=13 , QR=14  , andPR=15 . Let M be the midpoint of QR . Find PM.

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 Jan 16, 2021
edited by Guest  Jan 16, 2021

Best Answer 

 #2
avatar+1028 
+2

In triangle PQR, PQ=13, QR=14, and PR=15. Let M be the midpoint of QR. Find PM.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PM = 1/2 [sqrt(2*152 + 2*132 - 142)]

 

PM = 2√37

 Jan 16, 2021
 #1
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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)

 Jan 16, 2021
 #2
avatar+1028 
+2
Best Answer

In triangle PQR, PQ=13, QR=14, and PR=15. Let M be the midpoint of QR. Find PM.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PM = 1/2 [sqrt(2*152 + 2*132 - 142)]

 

PM = 2√37

jugoslav Jan 16, 2021
 #3
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Thank You so much 2sqrt37 was right Also how do you like something I can't figure it out

Guest Jan 16, 2021

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