Respuesta :

Percivle

Answer:

D) b= (c•sin(B))/sin(C)

Step-by-step explanation:

The Law of Sines states:

a/sin(A) = b/sin(B) = c/sin(C)

Where the lowercase letters are the sides of any triangle and the uppercase letters the angles opposite to those sides.

You can rearrange any two equivalencies you see here (or perform whole operations to all three, but you usually don't need to do anything like that). D) is the only one that has a correct rearrangement of values.

*Completely unrelated note: Option C) is technically a true statement but has nothing to do with the Law of Sines.*

The expression c x sin B / sin C is the correct option that is D.

What is the law of sines?

For any triangle ABC, with side measures |BC| = a. |AC| = b. |AB| = c,

we have, by law of sines,

[tex]\rm \dfrac{sin\angle A}{a} = \dfrac{sin\angle B}{b} = \dfrac{sin\angle C}{c}[/tex]

Remember that we took

sin(angle) / length of the side opposite to that angle

Then we have

b = c x sin B / sin C

Then the correct option is D.

Learn more about the law of sines here:

https://brainly.com/question/17289163

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