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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
This is readily seen to be a triangle center function and (provided the triangle is scalene) the corresponding triangle center is the excenter opposite to the largest vertex angle. The other two excenters can be picked out by similar functions.
Triangles have many types based on the length of the sides and the angles. A triangle whose sides are all the same length is an equilateral triangle, [3] a triangle with two sides having the same length is an isosceles triangle, [4] [a] and a triangle with three different-length sides is a scalene triangle. [7]
The 13th century Persian mathematician Naṣīr al-Dīn al-Ṭūsī, in his Kitāb al-Shakl al-qattāʴ (Book on the Complete Quadrilateral, c. 1250), gave a method for finding the third side of a general scalene triangle given two sides and the included angle by dropping a perpendicular from the vertex of one of the unknown angles to the ...
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.
A right triangle ABC with its right angle at C, hypotenuse c, and legs a and b,. A right triangle or right-angled triangle, sometimes called an orthogonal triangle or rectangular triangle, is a triangle in which two sides are perpendicular, forming a right angle (1 ⁄ 4 turn or 90 degrees).
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.
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 angle. Acute and obtuse triangles are the two different types of oblique triangles—triangles that ...