Law of Cosines Calculator

This calculator helps you solve for unknown sides or angles in a triangle using the Law of Cosines. Ideal for students, teachers, and professionals dealing with trigonometry.

Calculator

Side A (a):

Side B (b):

Angle C (γ) in degrees:

Results

Side C (c): 0

Data Source and Methodology

All calculations rely strictly on the formulas provided by standard trigonometric methods. Complete details can be found at CalculatorSoup.

The Formula Explained

\( c^2 = a^2 + b^2 - 2ab \cdot \cos(\gamma) \)

Glossary of Variables

a, b, c: Lengths of the sides of the triangle.
γ: The angle opposite side c, measured in degrees.

How It Works: A Step-by-Step Example

To find side c, input the lengths of sides a and b, and the measure of angle γ. The calculator then applies the formula to find the length of side c.

Frequently Asked Questions (FAQ)

What is the Law of Cosines?

The Law of Cosines relates the lengths of the sides of a triangle to the cosine of one of its angles.

Can this calculator handle any triangle?

Yes, as long as the triangle is defined by two sides and the included angle, or three sides.

Tool developed by Ugo Candido. Content reviewed by our expert team.
Last reviewed for accuracy on: October 5, 2023.