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If r, p, and q are given, then explain whether the Law of Sines or the Law of Cosines should be used to solve for ∠Q.
Law of Cosines, two sides and the included angle are known
Law of Cosines, all sides are known
Law of Sines, two sides and an opposite angle are known
Law of Sines, two angles and the included side are known

If r p and q are given then explain whether the Law of Sines or the Law of Cosines should be used to solve for Q Law of Cosines two sides and the included angle class=

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valerieulbrich

Answer:

Law of Cosines, all sides are known

Step-by-step explanation:

q² = p² + r² − 2pr cos(Q) or

[tex]\frac{-q^{2}+p^{2}+r^{2} }{2pr}[/tex] = cos (Q)

Q = [tex]cos^{-1}[/tex] [tex](\frac{-q^{2}+p^{2}+r^{2} }{2pr})[/tex]

The cos law should use in the provided situation, option (A) Law of Cosines, all sides are known is correct.

What is the triangle?

In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

We have given a triangle in which sides r, p, and q are given.

As per the cos law,

If we have three sides of a triangle known then we can find the unknown angle.

q² = r² + p² - 2rpcosQ

Q is the angle opposite to the side.

The angle can be defined as when two lines or rays converge at the same point, the measurement between them is called an "Angle."

Thus, the cos law should use in the provided situation, option (A) Law of Cosines, all sides are known is correct.

Learn more about the triangle here:

brainly.com/question/25813512

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