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1. If you know two angles and one side length for a right triangle, can you always solve the triangle? What if you know two side lengths and an angle? If you answer yes to either question, please explain why. If you answer no please give an example of a triangle that you cannot solve. Note: I consider determining that there are no possible solutions to be "solving the triangle".
2. Is it possible for there to be more than one solution for a triangle if you know two angles and one side length? What if you know two side lengths and an angle? If you answer yes, please explain why. If you answer no please give an example of a triangle with multiple solutions.
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