Question

two sides of a triangle are 7 cm and 25 cm then the number of possible integral values of third side is

Answer 1

The integral values of sides 19,20,21,........31
Such sides are 13
The sum of two sides greater than thrid side

Answer 2

It is given that two sides of a triangle is 7 cm and 25 cm.

As we know sum of two sides of a triangle is always greater than third side.

So, let the third side be S.

Either of three possibilities may happen

1. 7+ S> 25

S> 25-7

S > 18

2. As , 25 + S is always greater than 7.

3. 25 +7> S

   S< 32

So, our solution set is , 18< S < 32.

So, integral value of third side is 19,20,21,......31.