Editing Hyperbolic triangle (section)

{{Short description|Triangle in hyperbolic geometry}}
{{About|[[triangle]]s in [[hyperbolic geometry]]|triangles in a hyperbolic sector|Hyperbolic sector#Hyperbolic triangle}}

[[File:Hyperbolic triangle.svg|thumb|250px|right|A hyperbolic triangle embedded in a [[saddle point|saddle-shaped surface]]]]

In [[hyperbolic geometry]], a '''hyperbolic triangle''' is a [[triangle]] in the [[hyperbolic plane]]. It consists of three [[line segment]]s called ''sides'' or ''edges'' and three [[point (geometry)|points]] called ''angles'' or ''vertices''.

Just as in the [[Euclidean space|Euclidean]] case, three points of a [[hyperbolic space]] of an arbitrary [[dimension (mathematics)|dimension]] always lie on the same plane. Hence planar hyperbolic triangles also describe triangles possible in any higher dimension of hyperbolic spaces.
[[File:Order-7 triangular tiling.svg|thumb|right|200px|An [[order-7 triangular tiling]] has equilateral triangles with 2&pi;/7 radian [[internal angle]]s.]]