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

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