Question

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

Answer 1

In triangle sum of 2 sides must be greater than the 3rd side.

So, the third > 8 - 6 = 2 and also the third < 8 + 6 = 14.

So, the answer is 2 < third side < 14.

The third side lies between(2,14).

Answer 2

we know, by  properties of a triangle 
sum of two sides is always greater than the third side.
let the third side is L
then a/c to properties,
     L <  ( 6 + 8) cm = 14 cm 

Again, we know the difference between two sides is less than the third side.
 L > (8 - 6) cm = 2cm 

hence,  2cm < L < 14cm 
hence, third side lies between 2 cm to 14cm