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Law of Cosines

Solve triangles with law of cosines

Law of Cosines Calculator

Enter sides a and b and the included angle C to find side c.

The Law of Cosines relates the three sides of any triangle to one of its angles. It generalises the Pythagorean theorem: when the angle C = 90°, cos(C) = 0 and the formula reduces to a² + b² = c².

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Tip: Use the Law of Cosines when you know: (1) two sides and the included angle (SAS), or (2) all three sides (SSS). For other cases, use the Law of Sines.

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