Question

Consider obtuse-angled triangles 9cm,21cm and x cm. if 21 is the greatest side and x is an integer, then how such triangles exist a)5 b)6 c)7 d).8

kindly reply as soon as possible​

Answer 1

if 21 is the largest side then

21^2 >9^2+x^2

441-81>x^2

360>x^2

so x^2 can not be greater than 360 so x =18

21-9<x<21+9

so values of x are 13 ,14,15,16,17,18

so our ans is 6