Triangle Angle Calculator

Find all angles from three side lengths using the Law of Cosines.

Formula

cos(A) = (b²+c²-a²)/(2bc)

The Law of Cosines gives each angle opposite its respective side.

Examples

3-4-5 triangle

Equilateral (5-5-5)

7-8-9 triangle

Frequently Asked Questions

How do I find angles from three sides?

Use the Law of Cosines: cos(A) = (b² + c² − a²) / (2bc).

Do the angles always add to 180°?

Yes, the three interior angles of any triangle sum to exactly 180°.

About this Calculator

Find all angles from three side lengths using the Law of Cosines. All calculations are performed in your browser for instant results. Formulas are mathematically exact using JavaScript's built-in Math functions.