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Math · Rex's Toolbox

Triangle Area Calculator

Area from base and height, or from three sides.

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Rex says

The fast lane for the math you almost remember from school. Type the numbers, get the answer, move on with your day.

Try a scenario

Click to load — tweak from there.

Inputs

Result

Area

48.0000

Note

Base × height method

Perimeter

0.000

Semi-perimeter

0.000

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How to use this

  1. 1Enter method.
  2. 2Enter base.
  3. 3Enter height.
  4. 4Enter side a.
  5. 5Enter side b.
  6. 6Enter side c.
  7. 7Read your area on the right — it updates as you type.
  8. 8Hit Share to keep the scenario or send it to someone.

About this calculator

Two methods in one: the classic half-base-times-height, or Heron's formula when you only know the three side lengths. Heron's also validates whether the sides can form a triangle at all.

FormulaArea = ½ × base × height, or √(s(s−a)(s−b)(s−c)) where s is the semi-perimeter.

Worked example

Using the values the calculator loads with:

Inputs

  • Method: Base and height
  • Base: 12
  • Height: 8
  • Side a: 5
  • Side b: 6
  • Side c: 7

Results

  • Area: 48
  • Note: Base × height method
  • Perimeter: 0
  • Semi-perimeter: 0

What each field means

Inputs

Method
Pick the option that matches your situation — the maths changes per option. Choices: Base and height, Three sides (Heron's).
Base
The base used in the calculation. Starts at 12 so you have a working example on load.
Height
The height used in the calculation. Starts at 8 so you have a working example on load.
Side a
The side a used in the calculation. Starts at 5 so you have a working example on load.
Side b
The side b used in the calculation. Starts at 6 so you have a working example on load.
Side c
The side c used in the calculation. Starts at 7 so you have a working example on load.

Results

Area
Returned as a decimal number and shown as the headline result. It recalculates instantly whenever you change an input, so you can compare scenarios without reloading.
Note
Returned as a plain value. It recalculates instantly whenever you change an input, so you can compare scenarios without reloading.
Perimeter
Returned as a decimal number. It recalculates instantly whenever you change an input, so you can compare scenarios without reloading.
Semi-perimeter
Returned as a decimal number. It recalculates instantly whenever you change an input, so you can compare scenarios without reloading.

FAQ

How does the triangle area calculator work?

Two methods in one: the classic half-base-times-height, or Heron's formula when you only know the three side lengths. Heron's also validates whether the sides can form a triangle at all. The underlying maths is: Area = ½ × base × height, or √(s(s−a)(s−b)(s−c)) where s is the semi-perimeter.

What do I need to enter?

6 values: method, base, height, side a, side b, and side c. Each field starts with a sensible default, so you can change one number at a time and watch the result move.

What does the area result mean?

It is returned as a decimal number and updates live as you edit the inputs, so you can compare two or three versions of a scenario in a few seconds.

Is this calculator free, and do I need an account?

Yes, it's free, and no account is required. Nothing you type is stored on our servers — the maths runs entirely in your browser.

How accurate is the result?

It applies the standard formula exactly, so the arithmetic is precise. Results are rounded for display; the underlying calculation keeps full precision.

Who is this tool for?

It's built for students, developers, and anyone who needs the answer right now without setting up a spreadsheet.

Accuracy and limitations

  • Results are rounded for display; the underlying calculation keeps full precision.
  • Very large or very small inputs may hit floating-point limits in the browser.
  • Inputs outside the accepted range are clamped rather than rejected.

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Cite this calculator

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APA
RevenueLab. (2026). Triangle Area Calculator. Retrieved from https://www.revenuelab.fyi/toolbox/triangle-area
HTML
<p>Source: <a href="https://www.revenuelab.fyi/toolbox/triangle-area" target="_blank" rel="noopener">Triangle Area Calculator — RevenueLab</a> (2026).</p>
Markdown
Source: [Triangle Area Calculator — RevenueLab](https://www.revenuelab.fyi/toolbox/triangle-area) (2026).
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