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What Is the Law of Sines

Alternate names
Basic definition

The law of sines is a formula relating the ratios of sines of angles to the opposite side lengths for a general triangle.

Detailed definition

Let a, b, and c be the lengths of the legs of a triangle opposite angles A, B, and C. Then the law of sines states that
a/(sin A) = b/(sin B) = c/(sin C) = 2R, where R is the radius of the circumcircle.

Educational grade level

high school level (California trigonometry standard)

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