SOLUTION: The sum of any two sides of a triangle must be greater than the length of it third side. If two sides are 3.3 and 5.7 and the perimeter must have an integer length. What are the po

Algebra.Com
Question 1097679: The sum of any two sides of a triangle must be greater than the length of it third side. If two sides are 3.3 and 5.7 and the perimeter must have an integer length. What are the possibility of the third side? What are the least and the greatest perimeters?

Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
Two sides add to 9
The third side has to be at most 8. If 9, then two sides equal the third side, and that won't be a triangle.
If 8, then 3.3, 5.7, and 8 all work
7 works, 6 works, 5 works, 4 works, 3 works, but 2 does not work
3.3, 5.7 and 2 has two sides that are less than the third.
[3, 8]
greatest perimeter is 17
least perimeter is 12

RELATED QUESTIONS

If two sides of a triangle are 3 ft and 4ft, then the third side must be LONGERthan... (answered by josgarithmetic,ikleyn)
the sum of the length of any two sides of a triangle must be greater than the third side. (answered by edjones)
The sum of the lengths of any two sides of a triangle must be greater than the third... (answered by ankor@dixie-net.com)
The sum of the lengths of any two sides of a triangle must be greater than the third... (answered by josgarithmetic)
The sum of the lengths of any two sides of a triangle must be greater than the third... (answered by josgarithmetic)
The sum of the lengths of any two sides of a triangle must be greater than the... (answered by Alan3354)
The sum of the lengths of any two sides of a triangle must be greater than the third... (answered by stanbon,MathTherapy)
The sum of the lengths of any two sides of a triangle must be greater than the third... (answered by Edwin McCravy)
The sum of the lengths of any two sides of a triangle must be greater than the third... (answered by sudhanshu_kmr)