Law of Sines
Revision as of 20:20, 29 June 2006 by Xantos C. Guin (talk | contribs) (Added proof for the non-extended law of sines.)
Given a triangle with sides of length a, b and c, opposite angles of measure A, B and C, respectively, and a circumcircle with radius R, .
Proof of the Law of Sines
The formula for the area of a triangle is:
Since it doesn't matter which sides are chosen as ,
, and
, the following equality holds:
Multiplying the equation by yeilds:
See also
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