Types of Triangles and their Properties

 

Shapes play an essential role in geometry. Normally, the shapes that are enclosed by its sides are said to be polygons. There are different kinds of polygons. Whenever any polygon possesses three sides, then they are said to be triangles. The triangles are  of many types. Triangles are classified on the basis of their angles and their sides. in this article, we shall discuss about different types of triangles and their properties.

 

 

Types and Properties of Triangles Based on their Angles:

 Based on the angles, the triangles are classified into three types. They are

  • Right triangle
  • Acute Triangle
  • Obtuse triangle

Right triangle and its properties:

   Whenever one of the angles of a triangle is exactly 90°, then the triangle is called as right triangle.

right angle triangle

   One of the angle is 90°. So the sum of other two sides of the right triangle is equal to 90°. Because the sum of interior angles of a triangle is 180°.

Acute Triangle and its properties:

   Whenever all the angles of a triangle is less than 90° and greater than 0°, then the triangle is called as acute triangle.

acute triangle

   The sum of any two angles of an acute triangle is greater than 90°.

Obtuse triangle and its properties:

   Whenever any of the angles of a triangle measures greater than 90° and less than 180°, then the triangle is called as obtuse triangle.

obtuse triangle

   One angle is the obtuse angle and the other two angles are acute angles.

Types and Properties of Triangles Based on their Sides:

 Based on the sides, the triangles are classified into three types:

  • Equilateral triangle
  • Scalene triangle
  • Isosceles triangle

Equilateral triangle and its properties:

   When all the three sides of a triangle are equal, then the triangle is called as equilateral triangle.

equal triangle

   Since all the sides of the equilateral triangle are equal, all the three angles of the equilateral triangle are equal.

 

 

Scalene Triangle and its properties:

   When all the sides of a triangle are not different, then the triangle is called as scalene triangle.

scalene triangle

   Since all the sides of the scalene triangle are different, all the three angles of the scalene triangle are different.

Isosceles Triangle and its properties:

   When any two sides of the triangle are equal, then the triangle is called as an isosceles triangle.

isosceles triangle

   Since any two sides of the isosceles triangle are equal, any two angles of the isosceles triangle are equal. When the third angle of an isosceles triangle is a right angle, then the triangle is called as right isosceles triangle.