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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.
1 ASA is Angle, Side, Angle-given the size of 2 angles and the size of the side that is in between those 2 angles you can calculate the sizes of the remaining 1 angle and 2 sides.2  use the Sum of Angles Rule to find the other angle, then. 3  use The Law of Sines to solve for each of the other two sides.hese are NOT the ONLY sequences you could use to solve these. 1  See also these Trigonometry Calculators: 2  Law of Cosines Calculator. 3  Law of Sines Calculator. 4  AAA is Angle, Angle, Angle-given the sizes of 2 angles of a triangle you can calculate the size of the third angle.