Category:Definitions/Sign of Area of Triangle
This category contains definitions related to Sign of Area of Triangle.
Related results can be found in Category:Sign of Area of Triangle.
Let $\triangle ABC$ be a triangle embedded in the plane.
Definition 1
Let $\theta$ be the angle between $AB$ and $AC$.
If the direction of $\theta$ is anticlockwise, then $\triangle ABC$ is defined as having positive area.
If the direction of $\theta$ is clockwise, then $\triangle ABC$ is defined as having negative area.
Definition 2
Let the sides of $\triangle ABC$ be traversed in the order of its vertices, that is:
- $AB \to BC \to CA$
If the area of $\triangle ABC$ is thus described in an anticlockwise direction, then $\triangle ABC$ is defined as having positive area.
If the area of $\triangle ABC$ is thus described in a clockwise direction, then $\triangle ABC$ is defined as having negative area.
Pages in category "Definitions/Sign of Area of Triangle"
The following 3 pages are in this category, out of 3 total.