Math
Triangle Area Calculator
Use the standard triangle area formula: ½ × base × height.
Calculator
Results
- Triangle area63.0000 sq units
Formula
Area = ½ × base × height
Use this formula with the live inputs above to test scenarios instantly.
Assumptions
- Works for triangles with known perpendicular base and height.
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How this formula works
Triangle area uses one-half of a comparable rectangle built from the same base and height. This decomposition makes the formula intuitive and keeps calculations fast for construction, drafting, and classroom work.
The calculator assumes base and height are perpendicular measurements. If you are given side lengths or angles instead, convert to a compatible form before applying this expression.
References & citation
Use these references when documenting assumptions, and copy the block below when citing this calculator.
- Algebraic and Percentage Reasoning
Khan Academy
Covers the same percentage transformation logic used in this page.
- Distance and Area Formulas
Math Is Fun
Summarizes standard geometry formulas such as area and circumference.
Citation copy block
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