Math calculator

Triangle SAS Area Calculator

Side aSide bIncluded angle (degrees)

Triangle area: -

Visual representation

Triangle SAS Area Calculator diagram

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

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Calculation explained

How this result was calculated

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

The angle must lie between the entered sides and be greater than 0° and less than 180°.

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How the Triangle SAS Area Calculator works

Calculate triangle area from two sides and their included angle (SAS).

Formula

sideA × sideB × sin(includedAngle × π ÷ 180) ÷ 2

How to use this calculator

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

Interpretation and limitations

The angle must lie between the entered sides and be greater than 0° and less than 180°. 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.

About this calculator