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27 Table of all the Shapes. 28 References. ... Obtuse triangle; Rational triangle; Right triangle. 30-60-90 triangle; Isosceles right triangle; Kepler triangle;
An acute triangle (or acute-angled triangle) is a triangle with three acute angles (less than 90°). An obtuse triangle (or obtuse-angled triangle) is a triangle with one obtuse angle (greater than 90°) and two acute angles. Since a triangle's angles must sum to 180° in Euclidean geometry, no Euclidean triangle can have more than one obtuse ...
A rhombohedron has two opposite apices at which all face angles are equal; a prolate rhombohedron has this common angle acute, and an oblate rhombohedron has an obtuse angle at these vertices. A cube is a special case of a rhombohedron with all sides square.
Obtuse triangle; Rational triangle; Heronian triangle. Pythagorean triangle; Isosceles heronian triangle; Primitive Heronian triangle; Right triangle. 30-60-90 triangle; Isosceles right triangle; Kepler triangle; Scalene triangle; Quadrilateral – 4 sides Cyclic quadrilateral; Kite. Rectangle; Rhomboid; Rhombus; Square (regular quadrilateral ...
Obtuse may refer to: Obtuse angle, an angle of between 90 and 180 degrees; Obtuse triangle, a triangle with an internal angle of between 90 and 180 degrees; Obtuse leaf shape; Obtuse tepal shape; Obtuse barracuda, a ray-finned fish; Obtuse, a neighborhood in Brookfield, Connecticut
Whether an isosceles triangle is acute, right or obtuse depends only on the angle at its apex. In Euclidean geometry, the base angles can not be obtuse (greater than 90°) or right (equal to 90°) because their measures would sum to at least 180°, the total of all angles in any Euclidean triangle. [9]
The faces are isosceles triangles with one obtuse and two acute angles. The obtuse angle equals arccos(– 7 / 18 ) ≈ 112.885 380 476 16 ° and the acute ones equal arccos( 5 / 6 ) ≈ 33.557 309 761 92 °.
An obtuse trapezoid on the other hand has one acute and one obtuse angle on each base. An isosceles trapezoid is a trapezoid where the base angles have the same measure. As a consequence the two legs are also of equal length and it has reflection symmetry .