The law of cosines generalizes the Pythagorean theorem, which holds only for right triangles: if ⁠ ⁠ is a right angle then ⁠ ⁠, and the law of cosines reduces to ⁠ ⁠. The law of cosines is useful for solving a …

For any triangle ... a, b and c are sides. C is the angle opposite side c. the Law of Cosines (also called the Cosine Rule) says:

Law of Cosines: Definition Statement: The law of cosine states that the square of any one side of a triangle is equal to the difference between the sum of squares of the other two sides and double the …

Here is everything you need to know about the law of cosines or cosine rule. You’ll learn how to use the cosine rule to find missing sides and angles in an oblique triangle (non-right triangle) and understand …

Nov 17, 2025 · What is the law of cosines? The law of cosines, also known as the cosine formula or cosine rule, is a generalization of the Pythagorean theorem. It relates the lengths of the sides of any …

The cosine rule, also known as the law of cosines, relates all 3 sides of a triangle with an angle of a triangle. It is most useful for solving for missing information in a triangle.

Given the triangle below, where A, B, and C are the angle measures of the triangle, and a, b, and c are its sides, the Law of Cosines states: a 2 = b 2 + c 2 - 2bc·cos (A)

Dec 3, 2025 · Then the law of cosines states a^2 = b^2+c^2-2bccosA (1) b^2 = a^2+c^2-2accosB (2) c^2 = a^2+b^2-2abcosC. (3) Solving for the cosines yields the equivalent formulas cosA = ( …

The Law of Cosines (also known as the Cosine Rule or Cosine Formula) is a fundamental theorem in trigonometry that relates the lengths of the sides of any triangle to the cosine of one of its angles.

Jul 8, 2025 · This section discusses the Law of Cosines, including its derivation, and how to apply it to find missing sides and angles in any triangle. It covers practical examples and applications such as …