How do you use theorems about triangles to solve problems?

Step-by-step explanation:

Triangles can be solved if you know either of three pieces of information:

You can solve for the remaining sides and angles using law of sine and law of cosine.

Law of sine:

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

Law of cosine:

c² = a² + b² − 2ab cos C

Here, A is the angle opposite side a, B is the angle opposite side b, and C is the angle opposite side c.

Law of cosine can also be written as:

b² = a² + c² − 2ac cos B

a² = b² + c² − 2bc cos A

And law of sine can also be written as:

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

(Notice that when C = 90°, law of cosine becomes Pythagorean theorem.)

y = - 6

step-by-step explanation:

given the point (- 2, y) lies on the graph then it is a solution of it's equation.

substitute x = - 2 into the equation for value of y

y = 3(- 2) = 3 × - 2 = - 6

the point on the graph is (- 2, 6)

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