Question

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Answer 1

You cannot use law of sines because there is not enough information for this. No matter how to set it up there will be 2 unknowns. You need law of cosines. You can recognize this by side angle side, which is what you have.

Law of Cosines = \[ c^2 = a^2 + b^2 - 2ab\cos C\, \]

Answer 2

You can solve the two unknowns though.

Answer 3

of course the letters can be interchanged and we are left with...

\[a ^{2}= 41^2 + 40^2 - 2\times 41 \times 40 \times \cos (51)\]

Solve for a

Answer 4

Try it. And idk how you got those degrees because there is not enough info for those

Answer 5

But You can also go: