Triangle Angle Calculator

The angles of a triangle always add to 180°. With two angles known, the third is simple; with three sides, the law of cosines gives every angle.

You know
Results update as you type.

Angles

A = 48.1897°, B = 58.4119°, C = 73.3985°

Type
scalene, acute
Area
26.83281573

About this calculator

The result also names the triangle type.

How to use it

  1. Choose sides or angles.
  2. Enter the values.
  3. Read the angles.

The formula

cos A = (b² + c² − a²) ÷ 2bc; A + B + C = 180°
A
angle opposite side a

Worked example

Sides 7, 8 and 9

  1. A ≈ 48.19°, B ≈ 58.41°, C ≈ 73.40°.
  2. All acute, so an acute scalene triangle.

What the result means

The largest angle is opposite the longest side.

Assumptions

  • All lengths in the same unit.

Limitations

  • Results are rounded to 10 significant figures.

Frequently asked questions

What do the angles of a triangle add up to?

180°.

How do I find angles from sides?

Use the law of cosines.

What is an obtuse triangle?

One with an angle above 90°.

Last reviewed on 3 October 2026. Found a mistake? Tell us.