Sine Law/Law of Sines

In any triangle, if you compare the sine ratio of any angle to its corresponding side, the value is unique to that triangle, and can be used to find either the sine ratio of other angles or the corresponding other sides.

* You need to know at least a pair of corresponding angles/or sides and one other angle/side to make the law of sines visible.

ex) Angle A is 39 degrees, Angle C is 67 degrees and side a is 6.53. Solve the triangle.

sinA/a=sinR/r
sin39/6.532 = sin67/c
6.532(sin67)=sin39(c)
6.013/sin39=sin39(c)/sin39
9.554=c

Note: in the third step I cross multiplied.