The formula is a/sinA=b/sinB=c/sinC. The idea behind the equation is that the larger an angle is the larger the side across from it will be and the smaller the angle the smaller the side across from it will be.
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Yes
The sine law.
Yes, the law of sines can be used in a right triangle. The law applies to any arbitrary triangle.
sine 810 = sine 90 = 1
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.