|Bowers style acronym||Scalene|
|Symmetry||I×I, order 1|
The scalene triangle, or scalene, is a type of triangle with none of its three side lengths equal, and all of its three angles different. The term can more widely be used for triangles without any symmetries (other than the identity).
Measures[edit | edit source]
The angles α, β, and γ of the triangle, opposite to the sides with lengths a, b, c, respectively, are also given by the law of sines, as:
In vertex figures[edit | edit source]
Scalene triangles occur as vertex figures of 7 omnitruncated polyhedra.
|Great rhombitetratetrahedron||√, √, √|
|Great rhombicuboctahedron||√, √, √|
|Quasitruncated cuboctahedron||√, √, √|
|Cuboctatruncated cuboctahedron||√, √, √|
|Great rhombicosidodecahedron||√, √, √|
|Quasitruncated dodecadodecahedron||√, √, √|
|Great quasitruncated icosidodecahedron||√, √, √|
|Icosidodecatruncated icosidodecahedron||√, √, √|
References[edit | edit source]
[edit | edit source]
- Wikipedia Contributors. "Triangle § By lengths of sides".