Two sides of scalene Triangle ABC measure 3 centimeters and 5 centimeters. How many different whole centimeter lengths are possible for the third side?

Let the unknown side = S

By the triangle inequality

S < 3 + 5

S < 8

S + 3 > 5

S > 2

And

S + 5 < 3

S > -2

But taking the most restrictive interval

2 < S < 8

But since the triangle is scalene.....then the possible lengths for S are 4, 6, and 7 (cm)

CPhill i think you meant S+5>3