TRIANGLE

 A simple closed figure with three line segments is called a triangle.

                                            OR

 A polygon of three line segments is called a triangle.

                             

 It has three line segments , three vertices and three angles. 

CLASSIFICATION:

        Triangles can be classified in two ways. 

(i)  According to the sides

(ii) According to the angles

According to the sides, a triangle can be classified as :

1- Scalene Triangle 

2- Isosceles Triangle 

3- Equilateral Triangle 

According to the angles, a triangle can be classified as :

1- Acute Triangle 

2- Right Triangle 

3- Obtuse Triangle 

-: SCALENE TRIANGLE :-

A Triangle in which all the three sides have different measurement is called a Scalene Triangle. 

for example :

  ( 13cm, 14cm, 9cm )  

  ( 5.6cm, 4.8cm, 7.1cm ) 

SCALENE TRIANGLE

SCALENE TRIANGLE 

-: ISOSCELES TRIANGLE :-

 A Triangle in which any two sides have the same measurement is called an Isosceles Triangle. 

for example :

( 9cm, 9cm, 14cm ) 

( 12cm, 15.5cm, 12cm )

ISOSCELES TRIANGLE 

ISOSCELES TRIANGLE 

-: EQUILATERAL TRIANGLE :-

 A Triangle in which all the three sides have the same measurement is called an Equilateral Triangle. 

for example :

( 5cm, 5cm, 5cm ) 

( 8cm, 8cm, 8cm )

EQUILATERAL TRIANGLE 

EQUILATERAL TRIANGLE

-: ACUTE TRIANGLE :-

 A Triangle in which all the three angles are acute angles is called an Acute Angled Triangle or simply Acute Triangle. 

                                OR

A Triangle with three acute angles is called an Acute Angled Triangle or simply Acute Triangle.

for example :

( 40°, 75°, 65° ) 

( 60°, 60°, 60° )

ACUTE TRIANGLE 

ACUTE TRIANGLE 

-: RIGHT TRIANGLE :-

 A Triangle in which one angle is a right angle and other two angles are acute angles is called a Right Angled Triangle or simply Right Triangle. 

OR

A Triangle with one right angle and two acute angles is called a Right Angled Triangle or simply Right Triangle.

for example :

( 90°, 45°, 45° ) 

( 30°, 60° , 90°  )

RIGHT TRIANGLE 

RIGHT TRIANGLE 

-: OBTUSE TRIANGLE :-

 A Triangle in which one angle is an obtuse angle and other two angles are acute angles is called an Obtuse Angled Triangle or simply Obtuse Triangle. 

OR

A Triangle with one obtuse angle and two acute angles is called an Obtuse Angled Triangle or simply Obtuse Triangle.

for example :

( 105°, 34°, 41° ) 

( 120°, 20°, 40° )

OBTUSE TRIANGLE 

OBTUSE TRIANGLE 

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