Area of Triangle Formula
The area of a triangle is given by one-half multiplied by the base and height.
| Expression | Description |
|---|---|
| The area of the triangle. | |
| The base length of the triangle. | |
| The height length of the triangle. |
The area of a triangle is calculated using the length of its base and the length of its height. For example, the area of a triangle with a base of and a height of is equal to units squared as shown in the expressions below:
The formula can be derived using geometry and the area of a rectangle formula[1].
This example demonstrates how to calculate the area of a triangle with a base of 4 and a height of 3.
Start by setting up the formula.
Substitute the base and height into the formula.
Evaluate the multiplication.
Evaluate the multiplication.
The area of the triangle is equal to units squared.
This example demonstrates how to calculate the area of a triangle with a base of 4 and a height of 2.
Start by setting up the formula.
Substitute the base and height into the formula.
Evaluate the multiplication.
Evaluate the multiplication.
The area of the triangle is equal to units squared.
This example demonstrates how to calculate the area of a triangle with a base of 5 and a height of 4.
Start by setting up the formula.
Substitute the base and height into the formula.
Evaluate the multiplication.
Evaluate the multiplication.
The area of the triangle is equal to units squared.
The area of a triangle formula can be derived using a combination of geometry and the area of a rectangle formula [1]. The three cases of the derivation correspond to three triangle types: right triangle, acute triangle and obtuse triangle.
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Derive Area of Triangle Formula Example