TRIANGLE

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.The length of the sides of a triangle may be same or different. If all the 3 sides of a triangle are equal then it is an equilateral triangle. If 2 sides of a triangle are equal, it is an isosceles triangle.

Types of Triangles

Equilateral Triangles
Equilateral Triangle
The Equilateral Triangles have the following properties (in addition to the properties above for all triangles):
  • Three straight sides of equal length
  • Three angles, all equal to 60°
  • Three lines of symmetry
Isosceles Triangles
Isosceles Triangle
The Isosceles Triangles have the following properties:
  • Two sides of equal length
  • Two equal angles
  • One line of symmetry
Scalene Triangles
Scalene Triangle
Scalene triangles have the following properties
  • No sides of equal length
  • No equal angles
  • No lines of symmetry
Acute triangles
Acute triangles
Acute triangles have all acute angles (angles less than 90°). It is possible to have an acute triangle which is also an isosceles triangle – these are called acute isosceles triangles.
Right Triangles
Right triangles
The Right Triangles (right-angled triangles) have one right angle (equal to 90°).It is possible to have a right isosceles triangle – a triangle with a right angle and two equal sides.
Obtuse triangles
Obtuse triangles
Obtuse triangles have one obtuse angle (angle which is greater than 90°). It is possible to have a obtuse isosceles triangle – a triangle with an obtuse angle and two equal sides.
The Triangle Formula are given below as,
Triangle Formula
Perimeter of a triangle = a + b + c
Areaofatriangle=12bh

Where,b is the base of the triangle.h is the height of the triangle.
If only 2 sides and an internal angle is given then the remaining sides and angles can be calculated using the below formula:



asinA=bsinB=csinC

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