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Triangle geometry

Summary Of: Triangles

Triangles can be classified according to the relative lengths of their sides... Some definitions state that isosceles triangles have only two equal sides... Triangles can also be classified according to their... are right triangles with additional properties that make calculations involving them easier... Triangles that do not have an angle that measures 90... Triangles are assumed to be two... Elementary facts about triangles were presented by... Two triangles are said to be... The corresponding sides of similar triangles have lengths that are in the same proportion... If two corresponding internal angles of two triangles have the same measure... If two corresponding sides of two triangles are in proportion... If three corresponding sides of two triangles are in proportion... for a pair of triangles to be congruent... condition does not by itself guarantee that the triangles are congruent because one triangle could be obtuse... Using right triangles and the concept of similarity... the measures of the internal angles in planar triangles always sum to 180... Euclid defines isosceles triangles based on the number of equal sides... An alternative approach defines isosceles triangles based on shared properties... equilateral triangles are a special case of isosceles triangles... All pairs of congruent triangles are also similar... Software package for creating illustrations of facts about triangles and other theorems in Euclidean geometry... completes triangles when given three elements...

Encyclodia Page On: Triangles

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Triangle (disambiguation) | Isosceles trapezoid | | | shapes | geometry | polygon | vertices | line segments | Euclidean geometry | collinear | plane | Euclidean space | regular polygon | Isosceles triangle theorem | Equilateral Triangle | Isosceles triangle | Scalene triangle | internal angles | degrees | right angle | hypotenuse | Pythagorean theorem | Special right triangles | Pythagorean Triple | Right triangle | Obtuse triangle | Acute triangle | dimensional | plane figures | Non-planar triangles | simplex | Polytope | Euclid | Elements | | | Euclidean space | exterior angle | supplementary | exterior angle theorem | triangle inequality | similar | theorems | congruent | sufficient conditions | trigonometric functions | angle | trigonometry | | | Pythagorean theorem | hypotenuse | complementary | law of cosines | law of sines | Ceva's theorem | concurrent | collinear | Menelaus' theorem | | | circumcenter | perpendicular bisector | midpoint | circumcenter | circumcircle | circle | Thales' theorem | | | orthocenter | altitude | orthocenter | | | incircle | angle bisector | incenter | incircle | excircles | orthocentric system | | | centroid | median | vertex | midpoint | centroid | center of gravity | | | Nine-point circle | nine-point circle | orthocenter | Feuerbach point | excircles | | | Euler's line | Euler's line | symmedian | symmedian point | | | paralellogram | parallelogram | Euclidean space | vectors | cross product | dot products | free vector in Cartesian space | | trigonometry | Cartesian coordinate system | absolute value | determinant | Pythagorean sum | Heron's formula | inradius | Pick's theorem | Trigonometric functions | | | right triangle | right triangles | hypotenuse | similar | SOH-CAH-TOA | mnemonic | inverse trigonometric functions | multiplicative inverse | compositional inverse | Law of sines | Law of cosines | Law of tangents | | | law of sines | law of cosines | law of tangents | spherical triangles | spherical geometry | hyperbolic triangles | hyperbolic geometry | saddle surface | sphere | A-frame for hang gliders, trikes, and ultralights | BAMBI (geometry) | Congruence (geometry) | Dragon's Eye (symbol) | Fermat point | Hadwiger–Finsler inequality | Inertia tensor of triangle | Law of cosines | Law of sines | Law of tangents | Lester's theorem | List of triangle topics | Ono's inequality | Pedoe's inequality | Pythagorean theorem | Special right triangles | Triangle center | Triangular number | Triangulated category | Triangulation (topology) | | Weisstein, Eric W. | MathWorld | Weisstein, Eric W. | MathWorld | Weisstein, Eric W. | MathWorld | Weisstein, Eric W. | MathWorld | Oxford University Press | ISBN | 978-0-19-850763-5 | Weisstein, Eric W. | MathWorld | Wikimedia Commons | v | d | Polygons | Henagon (Monogon) | Digon | Quadrilateral (Tetragon) | Pentagon | Hexagon | Heptagon | Octagon | Nonagon (Enneagon) | Decagon | Hendecagon | Dodecagon | Triskaidecagon | Tetradecagon | Pentadecagon | Hexadecagon | Heptadecagon | Octadecagon | Nonadecagon (Enneadecagon) | Icosagon | Apeirogon | Star polygons | Pentagram | Hexagram | Heptagram | Octagram | Enneagram | Decagram | Hendecagram | Dodecagram | Categories | Polygons | Triangles | Triangle geometry |
This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Triangles".