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In triangle $PQR,$ $M$ is the midpoint of $\overline{QR}.$ Find $PM.$

 

 Jun 6, 2024
 #1
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Law of Cosines

 

[ 23^2 - 25^2 -18^2] / [ -2 * 25 * 18 ] = cos (angle Q)  = 7/15

 

Once more  →  QM = 12.5

 

PM =   sqrt [18^2 + 12.5^2  - 2 [ 18 * 12.5] * [ 7/15]  ]  ≈ 16.44

 

cool cool cool

 Jun 7, 2024

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