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1. Convert Online
2. Mathematics
3. Geometry
4. Triangle Area using three sides

\(a\)

(length of first side)

units

\(b\)

(length of second side)

units

\(c\)

(length of third side)

units

Area

square units

Copy

How to use this Triangle Area using three sides Calculator 🤔

1. Enter ✎ value for length of first side \((a)\).
2. Enter ✎ value for length of second side \((b)\).
3. Enter ✎ value for length of third side \((c)\).
4. As soon as you enter the required input value(s), the Triangle Area using three sides is calculated immediately, and displaed in the output section (present under input section).

Triangle Area using three sides

The area of a triangle is the area enclosed inside the three sides. Given three sides of the triangle, we can find the area of the triangle.

Formula

To calculate the triangle area using three sides, you can use the following formula.

Area = \({\ \sqrt{ s ( s - a )( s - b )( s - c )}\ }\)

where

Calculation

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  "img": {
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    "height": 300
  },
  "input_types": [
    "float",
    "float",
    "float"
  ],
  "input_labels": [
    "a",
    "b",
    "c"
  ],
  "input_values": [
    "8",
    "5",
    "6"
  ],
  "input_units": [
    "units",
    "units",
    "units"
  ],
  "input_descriptions": [
    "length of first side",
    "length of second side",
    "length of third side"
  ],
  "examples": [
    {
      "a": 10,
      "b": 20,
      "c": 15
    },
    {
      "a": 1,
      "b": 0.5,
      "c": 0.8
    }
  ],
  "intermediates": [
    [
      "s",
      "( a + b + c )/2"
    ]
  ],
  "type": "Calculate",
  "title": "Triangle Area using three sides",
  "category": "Geometry",
  "shape": "Triangle",
  "formula_mathjax": "\\({\\ \\sqrt{  s ( s - a )( s - b )( s - c )}\\ }\\)",
  "formula": "Math.sqrt( s * ( s - a ) * ( s - b ) * ( s - c ))",
  "op_label": "Area",
  "output_unit": "square units",
  "description": "The triangle area calculator calculates the area of a triangle by taking its lengths of three sides as inputs.",
  "explanation": "The area of a triangle is the area enclosed inside the three sides. Given three sides of the triangle, we can find the area of the triangle."
}