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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.
Because it is a right triangle one angle is obviously 90Â°. The other two are approximately 36.86Â° and 53.13Â°. The 3:4:5 triangle is useful when you want to determine if an angle is a right angle. For example, suppose you have a piece of carpet and wish to determine if one corner of it is 90Â°.First measure along one edge 3 feet. The measure along the adjacent edge 4 ft. right triangle where the sides are in the ratio of the integers 3:4:5. This is one example of the many  pythagorean triples . Try this In the figure below, drag the orange dots on each vertex to reshape the triangle. Note how it maintains the same proportions between its sides.