Triangle (EntityTopic, 17)
From Hi.gher. Space
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| - | {{Shape|Triangle|''No image''|2|3, 3|0| | + | {{Shape|Triangle|''No image''|2|3, 3|0|{3}|N/A|[[Line (shape)|E]]T|1<sup>1</sup> x<sup>y</sup>|[[Line (shape)|Line]], length 1|N/A|''Self-dual''|3}} |
A '''triangle''' is a two-dimensional [[simplex]]. | A '''triangle''' is a two-dimensional [[simplex]]. | ||
Revision as of 16:23, 17 June 2007
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.
Template:Polygons Template:Rotope Nav
