Math Calculator

Law of Sines Calculator

Solve for a missing side or angle with a/sin A = b/sin B. SSA may yield zero, one, or two triangles.

Enter known angles and sides

AAS/ASA: two angles + one side. SSA: angle A, side a, side b.

Clear

About this calculator

How to use Law of Sines Calculator, plus the formulas and logic behind the results.

Tool description

The Law of Sines states a/sin A = b/sin B = c/sin C. SSA is the ambiguous case.

How to use

  1. Review the input fields and choose degrees or radians when asked.
  2. Enter the known values using consistent units.
  3. Select Calculate to view results.
  4. Adjust inputs and recalculate as needed.

Formulas & reference

  • a / sin A = b / sin B = c / sin C
  • SSA height h = b sin A

Trig tips

  • Confirm angle mode (degrees vs radians) before evaluating sin, cos, tan.
  • Right-triangle tools assume a 90° angle between legs a and b.
  • Triangle inequality: each side must be shorter than the sum of the other two.

Calculation logic

AAS finds the third angle then scales sides. SSA computes sin B and reports one or two valid triangles when possible.

Educational calculator. Floating-point rounding may differ slightly from textbook answers.

Law of Sines Calculator FAQ

Common questions about this calculator and how to use the results.

What is the Law of Sines Calculator?

An online math tool on LeCalculators that solves law of sines calculator problems with clear numeric results for study and everyday use.

Do I use degrees or radians?

Many trig tools include an angle mode selector. Match the mode to how your angle is written—degrees (°) or radians.

Why is my answer undefined or invalid?

Trig functions have domain limits (for example arcsin needs −1…1). Triangle tools also reject sides that violate the triangle inequality.

How precise are the results?

Results use floating-point math and are rounded for display with mathFormat. Tiny rounding differences vs hand calculation are normal.

Is this calculator free?

Yes. LeCalculators trigonometry tools are free to use in your browser with guides and FAQs on each page.

Can I use this for homework?

Yes—use it to check work. Always show your own steps when your teacher requires a written solution.