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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.
If you don't have a protractor to find the degree measure of an angle, you can use trigonometry to evaluate the angle. The key is to think of the angle as part of a right triangle.he cosine of an angle is the run over hypotenuse, so the angle equals cos -1 (run/hypotenuse). If you know any two sides of a right triangle, you can compute the third with the Pythagorean Theorem. If A and B are two legs of the right triangle and C is the hypotenuse, then. C 2 = A 2 + B 2, or. C = â AÂ² + BÂ² .