CLASSIFYING TRIANGLES BASED ON SIDE MEASURES

On the basis of the length of the sides, triangles are classified into three categories.

• Scalene Triangle
• Isosceles Triangle
• Equilateral Triangle

Scalene Triangle

If all the sides are different in length, then the triangle is Scalene Triangle.

Isosceles Triangle

If two sides are the same in length, then the triangle is  Isosceles Triangle.

Equilateral Triangle

If all the sides are the same in length, then the triangle is Equilateral Triangle.

Identify each triangle based on sides.

Problem 1 :

Solution :

By observing the figure, 

AB = BC = AC = 2yd

Since all the sides are equal in length, it is an

Equilateral Triangle

Problem 2 :

Solution :

By observing the figure, 

AB = 7 in, BC = 5 in, and, AC = 3 in

Since all the sides are different in length, it is an

Scalene Triangle

Problem 3 :

Solution :

By observing the figure, 

AB = 5 ft, BC = 3 ft, and, AC = 3 ft

Since the two sides are the same in length, it is an

Isosceles Triangle

Problem 4 :

Solution :

By observing the figure, 

AB = 3 in, BC = 2 in, and, AC = 2 in

Since the two sides are the same in length, it is an

Isosceles Triangle

Problem 5 :

Solution :

By observing the figure, 

AB = BC = AC = 4 ft

Since all the sides are equal in length, it is an

Equilateral Triangle

Problem 6 :

Solution :

By observing the figure, 

AB = 7 yd, BC = 9 yd, and, AC = 8 yd

Since all the sides are different in length, it is an

Scalene Triangle