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Which theorem generalizes the Pythagorean Theorem to all triangles, regardless of whether they have a right angle?

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Law of Cosines

The Law of Cosines states that c² = a² + b² - 2ab cos(C). When the angle C is 90 degrees, cos(C) becomes zero, and the formula simplifies to the standard Pythagorean Theorem.

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  • What trigonometric theorem relates the three sides of a triangle to the cosine of one of its angles?

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