PlanetMath: sines law

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sines law

(Theorem)

Sines Law.
Let be a triangle where are the sides opposite to respectively, and let be the radius of the circumcircle. Then the following relation holds:

$\displaystyle \frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}=2R.$

$\includegraphics[scale=0.5]{SinesLaw}$

"sines law" is owned by drini. [ owner history (1) ]

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Other names:

law of sines

Keywords:

Sine, Trigonometry, Circle, Circumcircle, Triangle

Attachments:: sines law proof (Proof) by drini
sines law proof (Proof) by drini

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Cross-references: relation, circumcircle, radius, opposite, sides, triangle
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This is version 10 of sines law, born on 2001-08-18, modified 2002-01-30.
Object id is 28, canonical name is SinesLaw.
Accessed 12460 times total.

Classification:

51-00 (Geometry :: General reference works )

Pending Errata and Addenda

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