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ASS (SSA) Triangle Theorem Calculator

Calculate the principal possible angle in the ambiguous side-side-angle case.

Principal target angle (degrees): -
Visual representation

ASS (SSA) Triangle Theorem 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.

ASS is commonly called SSA. Zero, one, or two triangles may exist; this calculator returns only the principal arcsine solution, so also test 180° minus the result.
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How the ASS (SSA) Triangle Theorem Calculator works

Calculate the principal possible angle in the ambiguous side-side-angle case.

Formula

arcsin(targetSide × sin(knownAngle × π ÷ 180) ÷ knownSide) × 180 ÷ π

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

ASS is commonly called SSA. Zero, one, or two triangles may exist; this calculator returns only the principal arcsine solution, so also test 180° minus the result. Decimal answers are rounded for display; retain additional precision for subsequent calculations.

Geometry collection

This calculator belongs to the Trigonometry section of the Math calculator library.

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