Two sides of scalene ABC measure 3 centimeters and 5 centimeters. How many different whole centimeter lengths are possible for the third side?
Thanks!
A "scalene" triangle is a triangle whose 3 sides must all be different. So, based on that definition, there can only be the following sides: 3, 5, 4 3, 5, 6 3, 5, 7.
That is all I can see. They also meet the condition that the sum of the two shortest sides must be greater than the third side. So, 3+4 > 5 and 3+5 > 6 and 3+5 > 7.