Wolfram Demonstrations Project

The Law of Cosines relates the three side lengths of a triangle with the cosine of one of its angles. If this angle, call it

, is formed by sides

and

and opposite side

, then the law of cosines states that

. When

, the last term is zero, giving the Pythagorean theorem as a special case.

Contributed by: Chris Boucher

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The Law of Cosines