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Law of Sines Side Calculator

Find a triangle side from another side and two corresponding angles.

Target side: -
Visual representation

Law of Sines Side Calculator diagram

The diagram updates with your entries and is illustrative, not necessarily drawn to scale.

Calculation explained

How this result was calculated

The formula, your substituted values, and the evaluated result are shown below.

Angles must form a valid triangle and the known angle cannot have a zero sine. The ambiguous SSA case may require a second solution check.
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How the Law of Sines Side Calculator works

Find a triangle side from another side and two corresponding angles.

Formula

knownSide × sin(targetAngle × π ÷ 180) ÷ sin(knownAngle × π ÷ 180)

How to use this calculator

  1. Enter every measurement using one consistent length or angle unit.
  2. Select Calculate to evaluate the formula.
  3. Review the substituted values in the calculation explanation.

Interpretation and limitations

Angles must form a valid triangle and the known angle cannot have a zero sine. The ambiguous SSA case may require a second solution check. Decimal answers are rounded for display; retain additional precision for subsequent calculations.

Geometry collection

This calculator belongs to the Plane Geometry section of the Math calculator library.

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