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ASA Triangle Theorem Calculator

Find a target side using two angles and their included known side (ASA).

Target side: -
Visual representation

ASA 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.

The law of sines is applied after the third angle is established. Angles must define a valid triangle.
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How the ASA Triangle Theorem Calculator works

Find a target side using two angles and their included known side (ASA).

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

The law of sines is applied after the third angle is established. Angles must define a valid triangle. 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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