Difference between revisions of "Law of Cosines"

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The '''Law of Cosines''' is a formula used in finding lengths and angles of a triangle.  For sides a, b, and c with opposite angles A, B, and C respectively:
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The '''Law of Cosines''' is a formula used in finding [[length]]s and [[angle]]s of a [[triangle]].  For a triangle with [[side]]s <math>a</math>, <math>b</math>, and <math>c</math> opposite [[angle]]s <math>A</math>, <math>B</math>, and <math>C</math> respectively, the Law of Cosines states:
  
 
<math>c^2 = a^2 + b^2 - 2ab\cos C</math>
 
<math>c^2 = a^2 + b^2 - 2ab\cos C</math>
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==See also==
 
==See also==
 
* [[Pythagorean Theorem]]
 
* [[Pythagorean Theorem]]
* [[Law of sines]]
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* [[Law of Sines]]
 
* [[Trigonometry]]
 
* [[Trigonometry]]

Revision as of 14:36, 29 July 2006

The Law of Cosines is a formula used in finding lengths and angles of a triangle. For a triangle with sides $a$, $b$, and $c$ opposite angles $A$, $B$, and $C$ respectively, the Law of Cosines states:

$c^2 = a^2 + b^2 - 2ab\cos C$

$b^2 = a^2 + c^2 - 2ac\cos B$

$a^2 = b^2 + c^2 - 2bc\cos A$

See also