Question

The lengths of two sides of a triangle are 6 cm and 8 cm. Between which two numbers can the length of the third side fall?

Answer 1

We know that the sum of two sides of a triangle is always greater than the third.

Therefore, the third side has to be less than the sum of the two sides. The third side is thus,less than 8 + 6 = 14 cm.

The side cannot be less than the difference between the two sides. Thus, the third side has to be more than 8 – 6 = 2 cm.

The length of the third side could be any length greater than 2 and less than 14 cm.