In triangle ABC, AB = 3 and BC = 5. Find the number of possible integer values of CA. (not including degenerate triangles)
Triangle side length rule sum of two side must be greater than third side
(3+x) > 5 x >2
5+x > 3 x anyhting
5+3 > x
x < 8 values of x can be 3 4 5 6 7 5 possible integer values