Question

triangle and their properties​

Answer 1

This article is about the basic geometric shape. For other uses, see Triangle (disambiguation).

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted {\displaystyle \triangle ABC}.

Equilateral triangle

A regular triangle

TypeRegular polygonEdges and vertices3Schläfli symbol{3}Coxeter diagramSymmetry groupDihedral (D3), order 2×3Internal angle (degrees)60°Dual polygonSelfPropertiesConvex, cyclic, equilateral, isogonal, isotoxalTriangle

A triangle

Edges and vertices3Schläfli symbol{3} (for equilateral)Areavarious methods;

see belowInternal angle (degrees)60° (for equilateral)



Triangle = Tri (three) + Angle

In Euclidean geometry any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane (i.e. a two-dimensional Euclidean space). In other words, there is only one plane that contains that triangle, and every triangle is contained in some plane. If the entire geometry is only the Euclidean plane, there is only one plane and all triangles are contained in it; however, in higher-dimensional Euclidean spaces, this is no longer true. This article is about triangles in Euclidean geometry, and in particular, the Euclidean plane, except where otherwise noted.

Types of triangle

Basic facts

Existence of a triangle

Points, lines, and circles associated with a triangle

Computing the sides and angles

Computing the area of a triangle

Further formulas for general Euclidean triangles

Morley's trisector theorem

Figures inscribed in a triangle

Figures circumscribed about a triangle

Specifying the location of a point in a triangle

Non-planar triangles

Triangles in construction

Answer 2

Answer:

Depending on the measurement of sides and angles triangles are of following types:

   ⇒Equilateral Triangles: An equilateral triangle has all the sides and angles of equal measurement. This type of triangle is also called an acute triangle as all its sides measure 60° in measurement.

   ⇒Isosceles triangle: An isosceles triangle is the one with two sides equal and two equal angles.

   ⇒Scalene triangle: In a scalene triangle, no sides and angles are equal to each other.

Depending on angles, triangles are of following types:

   ⇒Acute Triangle: Triangles, where all sides are acute-angled to each other, are called acute triangles. The best example of this kind of triangle is the equilateral triangle.

   ⇒Obtuse Triangle: The obtuse angled triangle is the one with one obtuse angled side. Isosceles triangles and scalene triangles come under this category of triangles.

   ⇒Right Angled triangle: A triangle with one angle equal to 90° is called right-angled triangle.