Processing...

The **Area of a Triangle Calculator** computes the Area of a Triangle using 5 area formulas for different circumstances:

- Area of a Triangle based on the length of the base (
**b**) and height (**h**) - Area of a Triangle based on the length of two sides (
**b**,**c**) and the angle between (**α)** - Area based on the length of one side (
**c**) and the two angles enclosing it (**β**and**α**) - Area based on the length of three sides (
**a**,**b**,**c**) - Area based on three coordinates (
**X**)_{1}Y_{1}, X_{2}Y_{2}, X_{3}Y_{3}

Click HERE for instructional YouTube video.

The area of a triangle can be computed in different ways based on what you know. Here are five equations to compute the area of a triangle

The formula for the area of a Triangle based on the length of the base (**b**) and height (**h**) is:

A = ½•b•h

where:

- A is the area of the triangle
- b is the length of the base
- h is the length of the height

The formula for the area of a triangle based on the length of two sides (**b** , **c**) and the angle between (**α)** is: Triangles

A = ½•b•c•sin(α)

where:

- A is the area of a triangle
- b is the length of side b
- c is the length of side c
- α is the angle between sides b and c

The formula for the area of a triangle based on the two of the angles and the length in between them is:

`A = (c^2 * sin(α) * sin(β) ) / (2 sin(2π-α-β) )`

where:

- A is the area of a triangle
- α is an interior angle
- β is an interior angle
- c is the length of the side in between the angles

The formula for the area of a triangle based on the length of 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 a triangle
- a, b, and c are the lengths of the sides.