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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.
The sum of three angles of a triangle is 180 degrees. The largest angle of the triangle is 5 times as large as the smallest angle. (continued) The third angle is 18 degrees less than the largest angle.t is 18 degrees less than the largest angle. We already said the largest one is 5X degrees (5 times X). So, the third one is 5X - 18 degrees. So, the three angles are: X, 5X, and (5X-18). At the beginning of the problem, it says that if you add all 3 angles together the sum is 180 degrees.