Category:Sign of Area of Triangle
This category contains results about Sign of Area of Triangle.
Definitions specific to this category can be found in Definitions/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.
This category currently contains no pages or media.