what are the three types of triangles classified by sides
scalene triangle isosceles triangle equilateral triangle
title: Shape text: Shape A shape is the form of an object or its external boundary, outline, or external surface, as opposed to other properties such as color, texture or material composition. Some simple shapes can be put into broad categories. For instance, polygons are classified according to their number of edges as triangles, quadrilaterals, pentagons, etc. Each of these is divided into smaller categories; triangles can be equilateral, isosceles, obtuse, acute, scalene, etc. while quadrilaterals can be rectangles, rhombi, trapezoids, squares, etc. Other common shapes are points, lines, planes, and conic sections such as ellipses, circles, and parabolas. Among the most common title: Solution of triangles text: Solution of triangles Solution of triangles () is the main trigonometric problem of finding the characteristics of a triangle (angles and lengths of sides), when some of these are known. The triangle can be located on a plane or on a sphere. Applications requiring triangle solutions include geodesy, astronomy, construction, and navigation. A general form triangle has six main characteristics (see picture): three linear (side lengths ) and three angular (). The classical plane trigonometry problem is to specify three of the six characteristics and determine the other three. A triangle can be uniquely determined in this sense when given title: Polyabolo text: diaboloes, triaboloes, tetraboloes, pentaboloes, hexaboloes, heptaboloes, octaboloes, enneaboloes, and decaboloes. The name "polytan" is derived from Henri Picciotto's name "tetratan" and alludes to the ancient Chinese amusement of tangrams. There are two ways in which a square in a polyabolo can consist of two isosceles right triangles, but polyaboloes are considered equivalent if they have the same boundaries. The number of nonequivalent polyaboloes composed of 1, 2, 3, … triangles is 1, 3, 4, 14, 30, 107, 318, 1116, 3743, … . Polyaboloes that are confined strictly to the plane and cannot be turned over may be termed one-sided. The title: Acute and obtuse triangles text: smallest-perimeter integer-sided triangle with distinct sides, is obtuse: namely the one with sides (2, 3, 4). The only triangles with one angle being twice another and having integer sides in arithmetic progression are acute: namely, the (4,5,6) triangle and its multiples. There are no acute integer-sided triangles with area = perimeter, but there are three obtuse ones, having sides (6,25,29), (7,15,20), and (9,10,17). The smallest integer-sided triangle with three rational medians is acute, with sides (68, 85, 87). Heron triangles have integer sides and integer area. The oblique Heron triangle with the smallest perimeter is acute, with sides (6, 5, title: Hyperbolic triangle text: Hyperbolic triangle In hyperbolic geometry, a hyperbolic triangle is a triangle in the hyperbolic plane. It consists of three line segments called "sides" or "edges" and three points called "angles" or "vertices". Just as in the Euclidean case, three points of a hyperbolic space of an arbitrary dimension always lie on the same plane. Hence planar hyperbolic triangles also describe triangles possible in any higher dimension of hyperbolic spaces. A hyperbolic triangle consists of three non-collinear points and the three segments between them. Hyperbolic triangles have some properties that are analogous to those of triangles in Euclidean geometry: Hyperbolic triangles