The triangle area calculator calculates the area of a triangle by taking its lengths of three sides as inputs.
(length of first side)
units
(length of second side)
units
(length of third side)
units
square units
How to use Triangle Area using three sides Calculator
Enter ✎ value for length of first side \((a)\).
Enter ✎ value for length of second side \((b)\).
Enter ✎ value for length of third side \((c)\).
The result appears beneath the inputs as you enter values.
About this calculation
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
{
"topic": "triangle-area-using-three-sides",
"img": {
"width": 420,
"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."
}
ConvertOnline