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

Thanks!

AnonymousConfusedGuy
Apr 5, 2018

#1**-1 **

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.

Guest Apr 5, 2018

edited by
Guest
Apr 5, 2018