Difference between revisions of "Law of Cosines"
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In the case that one of the angles has measure <math>90^\circ</math> (is a [[right angle]]), the corresponding statement reduces to the [[Pythagorean Theorem]]. | In the case that one of the angles has measure <math>90^\circ</math> (is a [[right angle]]), the corresponding statement reduces to the [[Pythagorean Theorem]]. | ||
| − | + | ==Proofs== | |
==See also== | ==See also== | ||
* [[Law of Sines]] | * [[Law of Sines]] | ||
* [[Trigonometry]] | * [[Trigonometry]] | ||
Revision as of 22:19, 6 October 2007
| This is an AoPSWiki Word of the Week for Oct 4-Oct 10 |
The Law of Cosines is a theorem which relates the side-lengths and angles of a triangle. For a triangle with edges of length 
, 
and 
opposite angles of measure 
, 
and 
, respectively, the Law of Cosines states:
In the case that one of the angles has measure 
(is a right angle), the corresponding statement reduces to the Pythagorean Theorem.
