Triangle (EntityTopic, 17)

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== Equations ==
== Equations ==
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*The area of an '''arbitrary''' triangle is:
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*The area of an equilateral triangle with side length ''l'' is:
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<blockquote>''l''<sup>2</sup>[[Sine values|S<sub>4</sub>]]</blockquote>
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*The area of an arbitrary triangle, where ''a'' and ''b'' are two sides of the triangle and ''C'' is the angle between them, is:
<blockquote>''ab''sin(''C'')2<sup>-1</sup></blockquote>
<blockquote>''ab''sin(''C'')2<sup>-1</sup></blockquote>
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*where ''a'' and ''b'' are two sides of the triangle and ''C'' is the angle between them.
 
== Segmentation ==
== Segmentation ==

Revision as of 10:22, 11 March 2011


A triangle is a two-dimensional simplex.

Equations

  • The area of an equilateral triangle with side length l is:
l2S4
  • The area of an arbitrary triangle, where a and b are two sides of the triangle and C is the angle between them, is:
absin(C)2-1

Segmentation

The equilateral triangle of side 1 may be segmented into 3× triangle with sides 1, 2×3-2-1 and angles 2×30°, 120°.

Use

Triangular faces are found in these trishapes on FGwiki:

Triangular segments are found in these dishapes on FGwiki:


Simplices
triangletetrahedronpyrochoronpyroteronpyropeton


Notable Dishapes
Flat: trianglesquarepentagonhexagonoctagondecagon
Curved: circle


3. 11
Square
4. 11
Triangle
5. 3
Sphere
List of tapertopes

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