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

 

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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

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