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Law of Sines Calculator

Math
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Solves for unknown sides or angles of a triangle using the Law of Sines.

How To Use

How to use this calculator

Start with your values, or try a preset.

Step 1

Enter Side a, Angle A (degrees), Side b, and Angle B (degrees) in the units shown.

Step 2

Read Side b (Calculated), Angle B (degrees) (Calculated), Angle C (degrees), and Side c 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.

Example 1

Side a: 10 units; Angle A (degrees): 30 degrees; Side b: 0 units; Angle B (degrees): 60 degrees

Side b (Calculated): 17.32050808 units; Angle B (degrees) (Calculated): 0 degrees; Angle C (degrees): 90 degrees; Side c: 20 units

Example 3

Side a: 15 units; Angle A (degrees): 60 degrees; Side b: 0 units; Angle B (degrees): 75 degrees

Side b (Calculated): 16.73032607 units; Angle B (degrees) (Calculated): 0 degrees; Angle C (degrees): 45 degrees; Side c: 12.24744871 units

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