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A triangle is a polygon with three sides, three vertices, and three angles. It is one of the most fundamental shapes in geometry and forms the basis for advanced concepts in trigonometry and coordinate geometry. A triangle is a fundamental geometric shape composed of three-line segments that intersect at three distinct points. This article aims to cover the definition, types, properties, formulas for calculating area & perimeter, and examples of triangles. Cross: Two intersecting lines or bars, typically forming a perpendicular shape. Infinity symbol: A sideways figure-eight symbol representing eternity. Quatrefoil: A four-lobed or four-petaled shape. Reuleaux triangle: A shape formed by the intersection of three circles of equal radius, creating a curve of constant width. Cycloid: The shape family grows from basic shapes to more advanced ones. Start with common flat shapes, then move into polygons, quadrilaterals, triangle types, curved shapes, 3D solids, prisms, and special shapes such as ellipses, annuli, torus shapes, ellipsoids, and frustums.

Triangles are classified into different types based on their angles and the lengths of their sides. Relations between angles and side lengths are a major focus of trigonometry. In particular, the sine, cosine, and tangent functions relate side lengths and angles in right triangles. What is a triangle – find out its definition, parts, properties, different types with their classifications and formulae of area and perimeter using diagrams Right Triangle: When one of the angles of a triangle is 90°, it is called a right-angled triangle or right triangle. Obtuse Triangle: When one of the angles of a triangle is an obtuse angle, that is, it measures greater than 90°, it is called an obtuse-angled triangle or obtuse triangle.