Law of Cosines Calculator

Calculate unknown sides and angles of any triangle using the Law of Cosines formula.

α β γ a b c

Results:

Angle α: 0°

Angle β: 0°

Angle γ: 0°

Understanding the Law of Cosines

The Law of Cosines is a fundamental theorem in trigonometry that relates the lengths of the sides of a triangle to the cosine of one of its angles. It's especially useful when dealing with non-right triangles.

Key Formulas

  • c² = a² + b² - 2ab cos(γ)
  • b² = a² + c² - 2ac cos(β)
  • a² = b² + c² - 2bc cos(α)