The given measurements may or may not determine a triangle. If not, then state that no triangle is formed. If a triangle is formed, then use the Law of Sines to solve the triangle, if it is possible, or state that the Law of Sines cannot be used.
B = 126°, c = 7, b = 12

Question

The given measurements may or may not determine a triangle. If not, then state that no triangle is formed. If a triangle is formed, then use the Law of Sines to solve the triangle, if it is possible, or state that the Law of Sines cannot be used.
B = 126°, c = 7, b = 12

mathstudent55 · Answer

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mathstudent55 · Answer

Do you know the Law of Sines and how to use it?

evoker · Answer

I think the 12 is opposite the 126 right?

brydenwright · Answer

I know the Law of Sines, but I don't know how to figure out if a triangle can be made or not.

mathstudent55 · Answer

You are correct.
My mistake.
Here is the corrected drawing.
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mathstudent55 · Answer

First let's see if you can use the Law of Sines.

mathstudent55 · Answer

To use the Law of Sines, you need to have a given side and its opposite angle.
That will establish the ratio of the Law of Sines.

mathstudent55 · Answer

We do have angle B and side b.

$\dfrac{b}{\sin B}= \dfrac{c}{\sin C} $

mathstudent55 · Answer

We know b, c, and B.
We can solve for C.

mathstudent55 · Answer

Find C. Then find A using the sum of angles. Then find side "a" using the Law of Sines again.