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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.
For example, one side of a square has a length of x+6 and another side has a side length of 2x-3. By knowing the side lengths of a square are the same, you can write the equation x+6 = 2x-3 and solve this to figure out how long the sides are. You will also learn about formulas that involve shapes in any geometry class. For example, the volume of a cylinder is V=ÏrÂ²h. You also learn how to manipulate these formulas (finding ratios, scale factors, etc).