What is the signed Area of the triangle?

Triangle Area. DOWNLOAD Mathematica Notebook. The area Delta (sometimes also denoted sigma ) of a triangle DeltaABC with side lengths a , b , c and corresponding angles A , B , and C is given by ... read more

The signed area of a triangle is just the area of a triangle, if the vertices are listed counterclockwise, or negative of that area, if the vertices are listed clockwise. Let’s look at a simple example, a triangle in the first quadrant of the Cartesian plane with one vertex at the origin. read more

[[RUBATO]]Since the area of a parallelogram is, the area of a triangle must be one-half the area of a parallelogram. Thus\, the formula for the area of a triangle is: [&or&]. where is the base\, is the height and · means multiply. The base and height of a triangle must be perpendicular to each other. read more

This computation gives a signed area for a polygon; and, similar to the signed area of a triangle, is positive when the vertices are oriented counterclockwise around the polygon, and negative when oriented clockwise. So, this computation can be used to test for a polygon's global orientation. read more