Law of cosines

For a triangle with side lengths

a, b, c

C

opposite

c

, the law of cosines states

c^{2} = a^{2} + b^{2} - 2 ab cos C .

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Past exam of the mathematics course of the University of Cambridge / 2016 / iii / Paper 112 / 3 / ii / Solution
Past exam of the mathematics course of the University of Cambridge / 2019 / ia / Paper 4 / 9A / b / Solution
Past exam of the mathematics course of the University of Cambridge / 2019 / ib / Paper 4 / 15E / c / Solution
Quadratic path bound in a right triangle
Squared edge bound for tours in the unit square

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Law of cosines by

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The Law of Cosines is a fundamental relationship in geometry that relates the lengths of the sides of a triangle to the cosine of one of its angles. It is particularly useful for solving triangles that are not right-angled.

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