The Law of Sines

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The Law of Sines is a relationship among the angles and sides of a triangle. The ratio of the sine of any of the interior angles to the length of the side opposite that angle is the same for all three interior angles. In symbols, .

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Suppose angle is a right angle. Then , and the formula becomes and . In other words, the sine is the opposite side over the hypotenuse.

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Contributed by: Chris Boucher (March 2011)
Open content licensed under CC BY-NC-SA


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