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Law of Cosines Calculator

Math
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Calculate the sides and angles of a triangle using the Law of Cosines.

How To Use

How to use this calculator

Start with your values, or try a preset.

Step 1

Enter Side a (length), Side b (length), and Angle C (degrees) in the units shown.

Step 2

Read Side c (length), Angle A (degrees), and Angle B (degrees) in the results panel. Results update as you change the inputs.

Step 3

Choose a preset to load an example, then adjust the values for your situation.

Worked Examples

Example calculations

See the inputs and their calculated results.

Equilateral Triangle

Side a (length): 5 units; Side b (length): 5 units; Angle C (degrees): 60 degrees

Side c (length): 5 units; Angle A (degrees): 60 degrees; Angle B (degrees): 60 degrees

Right Triangle

Side a (length): 3 units; Side b (length): 4 units; Angle C (degrees): 90 degrees

Side c (length): 5 units; Angle A (degrees): 36.86989765 degrees; Angle B (degrees): 53.13010235 degrees

Obtuse Triangle

Side a (length): 6 units; Side b (length): 8 units; Angle C (degrees): 120 degrees

Side c (length): 12.16552506 units; Angle A (degrees): 25.28499605 degrees; Angle B (degrees): 34.71500395 degrees

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