Triangle || Part 03 || Triangle And Its Types

Triangle || Part 03 ||  Triangle And Its Types

Triangle:- A polygon with three edges, three vertices and three angles is called Triangles. A triangle with vertices A, B, and C is denoted by ∆ABC.

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(A) Types of Triangles Based on its interior Angles:

Triangles can be classified into three types on the Based of its interior Angles.

Which are:

1. Acute angle or Acute Angle Triangle

2. Obtuse Angle or Obtuse Angle Triangle

3. Right Angle or Right Angle Triangle

1. Acute Triangle or Acute Angled Triangle

A triangle whose all the three interior angles are acute angle (less than 90°) is called Acute Triangle or Acute Angle Triangle. 

Obtuse Triangle or Obtuse Angle Triangle 

A triangle whose one interior angles is obtuse angle (more than 90°) is called Obtuse Triangle or Obtuse Angle Triangle. 

Right Triangle or Right Angle Triangle

A triangle whose one interior angles is right angle (90°) is called Right Triangle or Right Angle Triangle.  

(B) Types of Triangles Based on Sides

On the basis of the sides the triangles can be classified into three types.

Which are:

1. Equilateral Triangle

2. Isosceles Triangle

3. Scalene Triangle

1. Equilateral Triangle or Equiangular Triangle

The triangle whose all the sides are equal in length is called equilateral Triangle. 

It's all three sides are equal in length, so that it's all angles are also equal in measure, which are 60°. 

Since the angles of an equilateral triangle equal in measure, so that it is also known as an equiangular triangle. 

2. Isosceles Triangle

The triangle whose two sides are equal in length is called Isosceles Triangle. 

It's two sides are equal in length, so that it's two angles are also equal in measure.

The opposite angles of equal sides are equal and vice versa.

3. Scalene Triangle

The triangle whose all sides are unequal in length is called scalene Triangle. 

It's all sides are unequal in length, so that it's all three angles are also unequal in measure.

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(C) Types of Triangle Based on Sides and Angles

We classify the triangles further based on their sides and angles as follows:

1. Equilateral or Equiangular Triangle: 

Triangle with all equal sides and equal angles is called an equilateral or equiangular triangle.

2. Acute Isosceles Triangle: 

An Acute Angle Triangle with two equal sides is called an acute isosceles triangle.

3. Isosceles Right Triangle: 

A Right Angle Triangle with two equal sides is called an isosceles right triangle.

4. Obtuse Isosceles Triangle: 

An Obtuse Angle Triangle with two equal sides is called an obtuse isosceles triangle.

5. Acute Scalene Triangle:

An Acute Angle Triangle with unequal sides is called an acute scalene triangle.

6. Right Scalene Triangle: 

A Right Angle Triangle with unequal sides is called an acute Scalene triangle.

7. Obtuse Scalene Triangle: 

An Obtuse Angle Triangle with unequal sides is called an obtuse Scalene triangle.