Classification of Triangles on the Basis of Their Sides and Angles

Here we will discuss about classification of triangles on the basis of their sides and angles

Classification of Triangles on the Basis of Sides:

Equilateral triangle: An equilateral triangle is a triangle whose all three sides are equal.

Equilateral Triangle

Here, XYZ is an equilateral triangle as XY = YZ = ZX.

Isosceles triangle: An isosceles triangle is a triangle whose any two sides are equal.

Isosceles Triangle

The adjoining figure shows an isosceles triangle where XY = XZ.

Scalene triangle: In a scalene triangle, all the three sides are unequal. 

Scalene Triangle

The above figure shows a scalene triangle where XY ≠ YZ ≠ ZX.


Classification of Triangles on the Basis of Their Angles:

Acute-angled triangle: If all the three angles of a triangle are acute angles (i.e., each measures less than 90°), it is called an acute-angled triangle.

Acute-angled Triangle

Here, ∠XYZ, ∠YZX and ∠ZXY are all acute angles.



Right-angled triangle: If one of the angles of a triangle is a right angle (i.e., measures 90°), it is called a right-angled triangle.

Right-angled Triangle


Here, <XYZ = 90°.

Therefore, ∆ XYZ is a right-angled triangle.



Obtuse-angled triangle: If any of the three angles of a triangle is an obtuse angles (i.e., measures more than 90°), it is called an obtuse-angled triangle.

Obtuse-angled Triangle

Here, ∠XYZ > 90°. 

Therefore, ∆ XYZ is an obtuse-angled triangle.





9th Grade Math

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