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defense just in case they ask a question
No. Sine rule (and cosine rule) apply to all triangles in Euclidean space (plane geometry). A simplification occurs when there is a right angle because the sine of the right angle is 1 and the cosine is 0. Thus you get Pythagoras theorem for right triangles.
No. The one on the right has right of way. There is an old rule that says "if you are on the right, you are right."
keep your decimals in the right position
It's because the diagonal line on each trapezoid cuts down on the error of your area estimation. It is the average of the left and right rules.