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

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

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

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

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

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

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.

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.

Here, <XYZ = 90°.

Therefore, ∆ XYZ is a right-angled triangle.

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

Here, ∠XYZ > 90°. 

Therefore, ∆ XYZ is an obtuse-angled triangle.

9th Grade Math

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