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In the last lesson we used the Law of Cosines to find the length of the third side of a triangle when you know the length of two sides and the angle in between. This law can also be used to find the measure of an angle when the three sides of a triangle are given. To use the Law of Cosines to find an unknown angle: 1. Identify c as the side across from the angle you are trying to find. 2. Substitute the values into the Law of Cosines.
We just saw how to find an angle when we know three sides. It took quite a few steps, so it is easier to use the direct formula (which is just a rearrangement of the c2 = a2 + b2 â 2ab cos(C) formula):