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MATH / TRIGONOMETRY

Law of Sines Calculator

Solve a triangle side from one known side and two opposite angles. Review the equation, substituted values, result context, and modelling limits in one guided workspace.

  • 01 Calculated in this tab
  • 02 Values stay in this browser tab
  • 03 Use boundary

Conversion input

Known value

Filter by unit name, symbol, or code. Your current selections remain available.

Preparing the calculator...

Use boundary

Calculation path

Solve a triangle side from one known side and two opposite angles. The page evaluates the displayed equation from your supplied values and presents both symbolic and substituted KaTeX working so the arithmetic can be checked.

Calculation path

b = a sin(B)/sin(A)

What you provide

What you provide

  • Known side a, using the same scenario as the other inputs
  • Opposite angle A expressed in deg, using the same scenario as the other inputs
  • Target angle B expressed in deg, using the same scenario as the other inputs

What you receive

What you receive

  • Solved side b from the stated equation
  • A symbolic formula plus substituted working with your values
  • Visible assumptions, field guidance, and an authoritative learning reference

Use boundary

Choose the maximum decimal places shown. This does not increase source accuracy.

Angles must describe a valid triangle and ambiguous SSA cases need separate review.

Use internally consistent units and retain extra precision when carrying the result into another calculation.

Reviewed reference factors

Reviewed reference factors