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In triangle PQR, PQ=13 , QR=14  , and PR=16 . Let M be the midpoint of QR . Find PM.

 Mar 30, 2022
 #1
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What kind of triangle is it? Can we see a diagram?

 Mar 30, 2022
 #2
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Cosine rule in PQR:

 \(\displaystyle \cos Q = \frac{13^{2}+14^{2}-16^{2}}{2.13.14}\; . \)

Cosine rule in PQM:

\(\displaystyle PM^{2}=7^{2}+13^{2}-2.7.13.\cos Q .\)

 Mar 31, 2022

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