We know angle C = 37º, and sides a = 8 and b = 11. The Law of Cosines says: c 2 = a 2 + b 2 − 2ab cos (C) Put in the values we know: c 2 = 8 2 + 11 2 − 2 × 8 × 11 × cos (37º) Do some …

In trigonometry, the law of cosines (also known as the cosine formula or cosine rule) relates the lengths of the sides of a triangle to the cosine of one of its angles.

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 …

Aug 1, 2025 · Calculator shows law of cosines equations and work. Calculates triangle perimeter, semi-perimeter, area, radius of inscribed circle, and radius of circumscribed circle around …

What is the law of cosines? The law of cosines (or cosine rule) is a formula that can be used to calculate a missing side or missing angle in a triangle. To apply the law of cosines, you need …

You will learn what is the law of cosines (also known as the cosine rule), the law of cosines formula, and its applications. Scroll down to find out when and how to use the law of cosines, …

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)

In this tutorial, we’ll look at the law of cosines – a critical concept when it comes to solving triangles. But before we dive into the law, here’s a quick summary of the convention we use to …

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 = ( …

Law of Cosines Formula The law of cosines is a formula that relates the three sides of a triangle to the cosine of a given angle