Law of cosines calculator

Find a side or angle from the other two sides and the included angle (or three sides).

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Tool guide

Law of cosines calculator: how it works

Practical information to understand the result and use this tool correctly.

About Law of cosines calculator

c² = a² + b² − 2ab cos(C) covers any triangle, not only right-angled ones.

Switch mode to solve for a side (SAS) or an angle (SSS).

When C = 90° the cosine term vanishes and Pythagoras appears.

How to use it

  1. 1Choose find-side or find-angle mode.
  2. 2Enter a, b, and either C or c.
  3. 3Read the result in length or degrees.

Frequently asked questions

Included angle?
Angle C must be the angle between sides a and b when finding side c.
Angle unit?
Degrees.