Triangle (EntityTopic, 17)

From Hi.gher. Space

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Revision as of 07:14, 20 June 2007

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A triangle is a two-dimensional simplex.

The triangle is important as all polygons can be defined as the union of a set of triangles, and all polytopes in greater than two dimensions can be defined as the hypervolume bounded by the union of a set of triangles.

Geometry

Equations

  • The area of an arbitrary triangle is:
absin(C)2-1
  • where a and b are two sides of the triangle and C is the angle between them.

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