Triangle (EntityTopic, 17)

From Hi.gher. Space

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== Geometry ==
== Geometry ==
=== Equations ===
=== Equations ===
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*The area of an arbitrary triangle is:
+
*The area of an '''arbitrary''' triangle is:
<blockquote>''ab''sin(''C'')2<sup>-1</sup></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.

Revision as of 08:03, 25 June 2007

Template:Shape

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

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