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Law of cosines: a2 = b2 + c2 – 2bccos(A)

Which equation correctly uses the law of cosines to solve for the missing side length of PQR?

62 = p2 + 82 – 2(p)(8)cos(39°)
p2 = 62 + 82 – 2(6)(8)cos(39°)
82 = 62 + p2 – 2(6)(p)cos(39°)
p2 = 62 + 62 – 2(6)(6)cos(39°)

Law of cosines: a2 = b2 + c2 – 2bccos(A) Which equation correctly uses the law of-example-1
User Cvazac
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2 Answers

1 vote

Answer:
yeah the second one

Explanation:

egde 2023

User CramerTV
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4 votes
The law of Cosines:


c^2 = a^2 + b^2 - 2ab \cos C

b^2 = a^2 + c^2 - 2ac \cos B

a^2 = b^2 + c^2 - 2bc \cos A

Since we have a SAS triangle, we can use

c^2 = a^2 + b^2 - 2ab \cos C
In the law above, pretend C and
c^2 is P and
p^2
a = 6 and b = 8

So this tells us that the second one it the correct answer.
User EXavier
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