a triangle has sides of length 7 cm ,15cm and x cm. If x is an interger find (i) the minimum value of x (ii) the maximum value of x

Answer 1

So for a triangle, two sides have to be greater than the largest side. Therefore, if you have three sides 7, 15, and x, you could say that...

a) x is the largest
b) 15 is the largest.

a) If x is the largest side then 7+15 has to be greater than x. 22 has to be greater than x. So x<22. There's the maximum value.

b) If 15 is the largest side, then x+7 has to be greater than 15. So x>8. That is the minimum value.

Answer 2

minimum=9
maximum=21