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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.
ANY right triangle can be solved for ALL sides and angles if you just know. 1) two sides OR 2) one angle and one side. In the first case (2 sides), you can determine the 3rd side and ALL the angles by going to the following link: Pythagorean Theorem Calculator. In the second case (1 angle and 1 side), the known angle MUST be Angle A. If you only know Angle B, calculate Angle A by subtracting Angle B from 90 degrees . Click on the side that is known. Clicking on any of these buttons will clear all 6 boxes on the right side.