Using Determinant to find the Area of a Triangle and a Polygon

Using Determinants to Find the Area of a Triangle
The determinant method provides a quick way to calculate the area of a triangle when the coordinates of its three vertices are known. This approach is especially useful in coordinate geometry and computational applications.

The following diagram shows how to find the area of a triangle using determinants. Scroll down the page for more examples and solutions.

 

Determinants to Find the Area of a Triangle
How to use determinants to find the area of a triangle?

Application of Determinants: Area on the Coordinate Plane
This video shows how to use determinants to calculate the area of a triangle on the coordinate plane.

Determinants to Find the Area of a Polygon
This video shows how to use determinants to find the area enclosed by any polygon.

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