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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.
Consider an octahedron with side length s. The faces are equilateral triangles. Find the area of one face. Multiply that by the number of faces for the total surface area. There is a problem with the dihedral angle formula being use in these pages. It applies only to cases in which exactly three faces meet at a vertex.