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Liono4ka [1.6K]
3 years ago
9

Law of cosines: a2 = b2 + c2 – 2bccos(A) What is the measure of P to the nearest whole degree? 35° 52° 57° 72°

Mathematics
2 answers:
jeka943 years ago
5 0

Answer:

is 57 degrees

Ymorist [56]3 years ago
4 0

Answer: 57°

Given : In triangle PQR, the side PQ is 17, QR is 15, and PR is 14.

We use law of cosine formula

QR^2 = PR^2 + PQ^2 - 2* PR * PQ * cos (P)

15^2 = 14^2 + 17^2 - 2*14 * 17 * cos(P)

225 = 196 + 289 - 476 cos(P)

225 = 485 - 476 cos (P)

Subtract 485 on both sides

-260 = -476 cos(P)

\frac{260}{476} = cos(P)

P = cos^{-1} (\frac{260}{476})

P= 56.89202

So measure of angle P is 57 degrees


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