Question
Class 7MathematicsThe Triangle and Its Properties

Two sides of a triangle are 4 cm and 7 cm. What can be the length of its third side to make the triangle possible?

Verified Answer

Let the length of the third side be x cm.

Condition I: Sum of two sides > the third side

i.e. 4 + 7 > x ⇒ 11 > x ⇒ x < 11

Condition II: The difference of two sides less than the third side.

i.e. 7 – 4 < x ⇒ 3 < x ⇒ x > 3

Hence the possible value of x are 3 < x < 11

i.e. x < 3 < 11