Processing...

`A = sqrt((a+b+c)/2((a+b+c)/2-a)((a+b+c)/2-b)((a+b+c)/2-c)) `

Enter a value for all fields

The **Area of a Triangle from Length of Three Sides** calculator computes the area of a triangle given the length of the triangle's three sides using **Heron's formula**.

**INSTRUCTIONS:** Choose units and enter the following:

- (
**a**) Length of Side**a** - (
**b**) Length of Side**b** - (
**c**) Length of Side**c**

**Area (A): **The calculator returns the area in square meters (m^{2}). However, this can be automatically converted to other area units (e.g. square feet) via the pull-down menu.

The Heron's formula for the area of a triangle based on the length of the three sides is:

`A = sqrt((a+b+c)/2((a+b+c)/2-a)((a+b+c)/2-b)((a+b+c)/2-c)) `

where:

- A is the area of the triangle
- a is the length of one side
- b is the length of one side
- c is the length of one side

The calculator makes a check that no one side is greater than the sum of the other two. In that case, it is impossible to have a triangle.

A **triangle** is a polygon with three sides, three vertices (corners), and three angles. **Triangles **can be classified based on the lengths of their sides and the measures of their angles as follows:

By Side Lengths:

**Equilateral Triangle**: All three sides are equal in length.**Isosceles Triangle**: Two sides are equal in length.**Scalene Triangle**: All three sides have different lengths.

By Angle Measures:

**Acute Triangle**: All three angles are less than 90 degrees.**Right Triangle**: One angle is exactly 90 degrees.**Obtuse Triangle**: One angle is greater than 90 degrees.

The sum of the interior angles of any triangle always adds up to 180 degrees.

- Area of Triangle (base and height)
- Area of Triangle (two sides and interior angle)
- Area of Triangle (two angles and interior side)
- Area of Triangle (three sides)
- Area of Equilateral Triangle
- Area of Triangle (three points)
- Height of Triangle
- Width of Triangle
- Triangle Perimeter
- Interior Angle of a triangle based on the length of three sides
- Semi-perimeter of a triangle
- Area of Circle Within a Triangle
- Area of Circle Around a Triangle
- Area between two vectors
- Triangle Volume