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In geometry, triangle inequalities are inequalities involving the parameters of triangles, that hold for every triangle, or for every triangle meeting certain conditions. The inequalities give an ordering of two different values: they are of the form "less than", "less than or equal to", "greater than", or "greater than or equal to". The parameters in a triangle inequality can be the side lengths, the semiperimeter, the angle measures, the values of trigonometric functions of those angles, the area of the triangle, the medians of the sides, the altitudes, the lengths of the internal angle bisectors from each angle to the opposite side, the perpendicular bisectors of the sides, the distance from an arbitrary point to another point, the inradius, the exradii, the circumradius, and/or other q

Attributes	Values
rdfs:label	List of triangle inequalities (en)
rdfs:comment	In geometry, triangle inequalities are inequalities involving the parameters of triangles, that hold for every triangle, or for every triangle meeting certain conditions. The inequalities give an ordering of two different values: they are of the form "less than", "less than or equal to", "greater than", or "greater than or equal to". The parameters in a triangle inequality can be the side lengths, the semiperimeter, the angle measures, the values of trigonometric functions of those angles, the area of the triangle, the medians of the sides, the altitudes, the lengths of the internal angle bisectors from each angle to the opposite side, the perpendicular bisectors of the sides, the distance from an arbitrary point to another point, the inradius, the exradii, the circumradius, and/or other q (en)
dct:subject	Triangle inequalities Mathematics-related lists
Wikipage page ID	4904667 (xsd:integer)
Wikipage revision ID	1114559466 (xsd:integer)
Link from a Wikipage to another Wikipage	Midpoint Euler inequality Apex (geometry) Hypotenuse Perpendicular Degeneracy (mathematics) Incenter Inscribed figure List of inequalities Isosceles triangle theorem Ptolemy's inequality Cotangent Geometric mean Nesbitt's inequality Circle Circumcenter Elliptic geometry Equilateral triangle Geometry Golden ratio Corollary Erdős–Mordell inequality Orthocenter Angle Arithmetic mean Limit (mathematics) Similarity (geometry) Hadwiger–Finsler inequality Perimeter Tangent Semiperimeter Centroid Triangle inequality Trigonometric function Circumcircle Nine-point center Euclid Euler Excircle Barrow's inequality Triangle inequalities Brocard points Parameter Isosceles triangle Circumradius Inradius Pythagorean theorem Right angle Harmonic mean Angle bisector Hyperbolic triangle Ono's inequality Area (geometry) Bisection Triangle Bonnesen's inequality Solution of triangles If and only if Incircle Inequality (mathematics) Mathematics-related lists Hinge theorem Medial triangle Median (geometry) Vertex (geometry) Euclidean plane Euler line Exterior angle theorem List of triangle topics Pedoe's inequality Weitzenböck's inequality Tangential polygon Right triangle Altitude (geometry) Arithmetic-geometric mean inequality Interior angle Exterior angle Isoperimetric inequality for triangles Median (triangle)
sameAs	List of triangle inequalities List of triangle inequalities List of triangle inequalities
dbp:wikiPageUsesTemplate	dbt:For dbt:Reflist dbt:Rp dbt:Short_description dbt:Slink
has abstract	In geometry, triangle inequalities are inequalities involving the parameters of triangles, that hold for every triangle, or for every triangle meeting certain conditions. The inequalities give an ordering of two different values: they are of the form "less than", "less than or equal to", "greater than", or "greater than or equal to". The parameters in a triangle inequality can be the side lengths, the semiperimeter, the angle measures, the values of trigonometric functions of those angles, the area of the triangle, the medians of the sides, the altitudes, the lengths of the internal angle bisectors from each angle to the opposite side, the perpendicular bisectors of the sides, the distance from an arbitrary point to another point, the inradius, the exradii, the circumradius, and/or other quantities. Unless otherwise specified, this article deals with triangles in the Euclidean plane. (en)
prov:wasDerivedFrom	wikipedia-en:List_of_triangle_inequalities?oldid=1114559466&ns=0
page length (characters) of wiki page	45047 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:List_of_triangle_inequalities
is rdfs:seeAlso of	Proofs of trigonometric identities List of inequalities Acute and obtuse triangles

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