Question

Someone check my answer for fan and medal

Answer 1

Looks good to me. Note that you can use the law of sines and the law of cosines for a side-side-angle (SSA) problem. One is easier than the other.

Answer 2

Yes.

Answer 3

You could change the wording in two places to be more precise...

Answer 4

change "To use the Law of Cosines you must have the length of the two opposite sides and the angle between them to calculate the missing side." to "To use the Law of Cosines you must have the length of the two sides and the angle between them to calculate the missing side. "

change "For both of these laws to be able to be used, you would have to know the length of two sides and an opposite angle measure." to "For both of these laws to be able to be used, you would have to know the length of two sides and an angle measure."

Answer 5

You could be much more concise by speaking in terms of specific triangle arrangements, such as stating when the Law of Cosines and Law of Sines could be used for SSS, SSA, SAS, AAS, ASA and AAA. This is really what your teacher is looking for :)

Answer 6

SAS means side-angle-side, which is what you meant when you said "length of the two opposite sides and the angle between them"

Answer 7

I don't understand your question.

Answer 8

Law of Sines: AAS, ASA, SSA
Law of Cosines: SAS, SSS, SSA

Note that both the law of sines and law of cosines can be used to solve SSA.

You cannot find the length of a side with AAA, the triangle could be any scale, so neither law will work.

Answer 9

Do you understand the abbreviations I'm using, what I mean by SAS or AAA?

Answer 10

It just describes the orientation of your known values of the triangle.