Triangle (EntityTopic, 17)
From Hi.gher. Space
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=== Equations === | === Equations === | ||
*The area of an arbitrary triangle is: | *The area of an arbitrary triangle is: | ||
| - | <blockquote> | + | <blockquote>''ab''sin(''C'')2<sup>-1</sup></blockquote> |
| - | *where a and b are two sides of the triangle and C is the angle between them. | + | *where ''a'' and ''b'' are two sides of the triangle and ''C'' is the angle between them. |
{{Polygons}} | {{Polygons}} | ||
{{Rotope Nav|2|3|4|II<br>Square|I'<br>Triangle|(II)<br>Circle}} | {{Rotope Nav|2|3|4|II<br>Square|I'<br>Triangle|(II)<br>Circle}} | ||
Revision as of 16:02, 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
