Land surveying makes an extensive use of the sine and cosine law. The idea is to subdivide the land into many triangles and to measure one side and two angels of each triangle. With the sine law the other two sides can be computed. The Mount Everest was found by this method to be the highest mountain on planet earth.
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No, it does not.
Use the law of sines.
Yes, the law of sines can be used in a right triangle. The law applies to any arbitrary triangle.