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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.
From any one vertex, you can draw a line that is perpendicular to the opposite base â thatâs the altitude to this base. Any triangle has three altitudes and three bases. You can use any one altitude-base pair to find the area of the triangle, via the formula A = (1/2)bh.In each of those diagrams, the triangle ABC is the same. The green line is the altitude, the âheightâ, and the side with the red perpendicular square on it is the âbase.â All three sides of the triangle get a turn.inding a height. Given the lengths of three sides of a triangle, the only way one would be able to find a height and the area from the sides alone would involve trigonometry, which is well beyond the scope of the GMAT. You are 100% NOT responsible for knowing how to perform these calculations.