Difference between revisions of "Law of Cosines"
Line 1: | Line 1: | ||
+ | {{WotWAnnounce|week=Oct 4-Oct 10}} | ||
+ | |||
The '''Law of Cosines''' is a theorem which relates the side-[[length]]s and [[angle]]s of a [[triangle]]. For a triangle with [[edge]]s of length <math>a</math>, <math>b</math> and <math>c</math> opposite [[angle]]s of measure <math>A</math>, <math>B</math> and <math>C</math>, respectively, the Law of Cosines states: | The '''Law of Cosines''' is a theorem which relates the side-[[length]]s and [[angle]]s of a [[triangle]]. For a triangle with [[edge]]s of length <math>a</math>, <math>b</math> and <math>c</math> opposite [[angle]]s of measure <math>A</math>, <math>B</math> and <math>C</math>, respectively, the Law of Cosines states: | ||
Revision as of 20:59, 4 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.