Triangle (EntityTopic, 17)

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Revision as of 11:05, 22 September 2007 by Keiji (Talk | contribs)

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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.

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 polyhedra on FGwiki:

These polygons on FGwiki can be segmented into triangles:


Notable Dishapes
Flat: trianglesquarepentagonhexagonoctagondecagon
Curved: circle

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