Math calculator

SSS Triangle Theorem Calculator

Side aSide bSide c

Triangle area: -

Visual representation

SSS Triangle Theorem 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 three positive sides must satisfy the triangle inequality. A zero radicand describes a degenerate triangle.

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How the SSS Triangle Theorem Calculator works

Calculate triangle area from all three side lengths using Heron’s formula.

Formula

√(((sideA+sideB+sideC) ÷ 2) × (((sideA+sideB+sideC) ÷ 2)-sideA) × (((sideA+sideB+sideC) ÷ 2)-sideB) × (((sideA+sideB+sideC) ÷ 2)-sideC))

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 three positive sides must satisfy the triangle inequality. A zero radicand describes a degenerate 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.

About this calculator