Question

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

Answer 1

Given: Two sides of a triangle are 7 cm and 25 cm.

To find: Integral values of third side

Solution: Let third side be S.

As we know to form a triangle sum of two sides should be greater than the third side.

So, 1. 7+ 25> S →32> S

2. 7+ S> 25→ S> 25-7→S> 18

3.Third case is surely true i.e 32+S>7

Combining (1) and (2), we get

18< S <32.

So the integral value of third side is 19,20,21,22,23,24,25,26,27,28,29,30,31. which are 13 in total.