Question
Class 7MathematicsThe Triangle and Its Properties

Which of the following cannot be the sides of a triangle?

(i) 4.5 cm, 3.5 cm, 6.4 cm

(ii) 2.5 cm, 3.5 cm, 6.0 cm

(iii) 2.5 cm, 4.2 cm, 8 cm

Verified Answer

(i)  Given sides are, 4.5 cm, 3.5 cm, 6.4 cm

       Sum of any two sides = 4.5 cm + 3.5 cm = 8 cm

       Since 8 cm > 6.4 cm (Triangle inequality)

       The given sides form a triangle.

(ii)  Given sides are 2.5 cm, 3.5 cm, 6.0 cm

       Sum of any two sides = 2.5 cm + 3.5 cm = 6.0 cm

       Since 6.0 cm = 6.0 cm

       The given sides do not form a triangle.

(iii) 2.5 cm, 4.2 cm, 8 cm

       Sum of any two sides = 2.5 cm + 4.2 cm = 6.7 cm

       Since 6.7 cm < 8 cm

       The given sides do not form a triangle.