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 (X1Y1, X2Y2, X3Y3)
Click HERE for instructional YouTube video.
The Math / Science
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
If you know the base and height ...
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
If you know two sides and the angle between them ...
The formula for the area of a triangle based on the length of two sides (b , c) and the angle between (α) is:
.png)
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
If you know the two angles and the length of the side in between them ...
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
If you know the length of all three sides ...
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.