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Statements

Subject Item
dbr:List_of_triangle_inequalities
rdfs:label
List of triangle inequalities
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
dcterms:subject
dbc:Mathematics-related_lists dbc:Triangle_inequalities
dbo:wikiPageID
4904667
dbo:wikiPageRevisionID
1114559466
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dbr:Interior_angle dbr:Inequality_(mathematics) dbr:Hadwiger–Finsler_inequality dbr:Geometric_mean dbr:Pedoe's_inequality dbr:Solution_of_triangles dbr:List_of_triangle_topics dbr:Bonnesen's_inequality dbr:Altitude_(geometry) dbr:Similarity_(geometry) dbr:Parameter dbr:Midpoint dbr:Triangle dbr:Right_angle dbr:Inscribed_figure dbr:Euclidean_plane dbr:Circumcircle dbr:Circumradius dbc:Triangle_inequalities dbr:Median_(geometry) dbr:List_of_inequalities dbr:Hinge_theorem dbr:Medial_triangle dbr:Angle_bisector dbr:Bisection dbr:Perimeter dbc:Mathematics-related_lists dbr:Trigonometric_function dbr:Degeneracy_(mathematics) dbr:Isosceles_triangle dbr:Perpendicular dbr:Isoperimetric_inequality_for_triangles dbr:Euclid dbr:Brocard_points dbr:Euler dbr:Pythagorean_theorem dbr:Apex_(geometry) dbr:Weitzenböck's_inequality dbr:Orthocenter dbr:Arithmetic_mean dbr:Semiperimeter dbr:Incenter dbr:Vertex_(geometry) dbr:Excircle dbr:Incircle dbr:Cotangent dbr:Exterior_angle dbr:Centroid dbr:Inradius dbr:Right_triangle dbr:Circle dbr:Euler_line dbr:Euler_inequality dbr:Erdős–Mordell_inequality dbr:Tangent dbr:Nine-point_center dbr:Angle dbr:Barrow's_inequality dbr:Golden_ratio dbr:Hyperbolic_triangle dbr:Elliptic_geometry dbr:Geometry dbr:If_and_only_if dbr:Arithmetic-geometric_mean_inequality dbr:Harmonic_mean dbr:Isosceles_triangle_theorem dbr:Ptolemy's_inequality dbr:Hypotenuse dbr:Tangential_polygon dbr:Corollary dbr:Area_(geometry) dbr:Limit_(mathematics) dbr:Nesbitt's_inequality dbr:Median_(triangle) dbr:Circumcenter dbr:Triangle_inequality dbr:Ono's_inequality dbr:Equilateral_triangle dbr:Exterior_angle_theorem
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n7:kggN wikidata:Q18206252 n15:முக்கோணச்_சமனிலிகளின்_பட்டியல்
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dbo: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.
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wikipedia-en:List_of_triangle_inequalities?oldid=1114559466&ns=0
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45047
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wikipedia-en:List_of_triangle_inequalities