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Scalene may refer to: A scalene triangle, one in which all sides and angles are not the same. A scalene ellipsoid, one in which the lengths of all three semi-principal axes are different; Scalene muscles of the neck; Scalene tubercle, a slight ridge on the first rib prolonged internally into a tubercle
An exterior angle of a triangle is an angle that is a linear pair (and hence supplementary) to an interior angle. The measure of an exterior angle of a triangle is equal to the sum of the measures of the two interior angles that are not adjacent to it; this is the exterior angle theorem. [34]
The excentral triangle of a reference triangle has vertices at the centers of the reference triangle's excircles. Its sides are on the external angle bisectors of the reference triangle (see figure at top of page ).
In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of any triangle to the sines of its angles.According to the law, = = =, where a, b, and c are the lengths of the sides of a triangle, and α, β, and γ are the opposite angles (see figure 2), while R is the radius of the triangle's circumcircle.
This is an SVG drawing of a scalene triangle with sides and angles marked, last of six-image series with Image:Triangle-acute.svg, Image:Triangle-obtuse.svg, Image:Triangle-right.svg, Image:Triangle-isosceles.svg, and Image:Triangle-equilateral.svg. All files are the same size, 505 by 440.
The point of intersection of angle bisectors of the 3 angles of triangle ABC is the incenter (denoted by I). The incircle (whose center is I) touches each side of the triangle. In geometry , the incenter of a triangle is a triangle center , a point defined for any triangle in a way that is independent of the triangle's placement or scale.
Triangle centers that have the same form for both Euclidean and hyperbolic geometry can be expressed using gyrotrigonometry. [11] [12] [13] In non-Euclidean geometry, the assumption that the interior angles of the triangle sum to 180 degrees must be discarded.
All heptagonal triangles are similar (have the same shape), and so they are collectively known as the heptagonal triangle. Its angles have measures π / 7 , 2 π / 7 , {\displaystyle \pi /7,2\pi /7,} and 4 π / 7 , {\displaystyle 4\pi /7,} and it is the only triangle with angles in the ratios 1:2:4.