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Triangle Area from Two Sides and Angle

Calculate area using the triangle area from two sides and angle formula.

Area: -
Visual representation

Triangle Area from Two Sides and Angle 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.

Reference: Formulae and Tables, State Examinations Commission (2014), page 10.
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How the Triangle Area from Two Sides and Angle works

This calculator applies the formula given in Formulae and Tables, State Examinations Commission (2014), page 10. Enter values in consistent units.

Formula and inputs

a × b × Math.sin(angle × Math.PI ÷ 180) ÷ 2

Inputs: Side a, Side b, Included angle (degrees).

Using the result

The result is rounded to 4 decimal places. Check units, assumptions and significant figures before using the answer.

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