I need to be able to do this programmatically, so I'll need to be able to convert an example into algebra, but for the sake of hopefully having it make more sense to me, let's say the two sides are 15 units long, and the angle of the vertex is 12 degrees. How would I go about determining the length of the base?
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Alternatively, you can use the law of the cosines which would yield the answer in a single step.