Consider obtuse angled triangles with sides 8 cm, 15 cm and x cm. If x is an integer then how many such triangles exist?
If two sides are 8 and 15, then third side will have to be between (15-8) = 7 and (15+8) = 23.
When c is the longest side in obtuse triangle,
a2 + b2 < c2
If 15 is the longest side, then x can be 8, 9, 10, 11 or 12
If x is the longest side, then x can be 18, 19, 20, 21 or 22
Thus, 10 values of x are possible.
The correct option is B.