SOLUTION: A triangle Has 18 and 13 what is the smallest possible whole number length for the third sides

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Question 1160102: A triangle Has 18 and 13 what is the smallest possible whole number length for the third sides
Found 2 solutions by ikleyn, MathLover1:
Answer by ikleyn(52848) About Me  (Show Source):
You can put this solution on YOUR website!
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A triangle Has highlight%28side_lengths%29 18 and 13. what is the smallest possible whole number length for the third sides ?
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The shortest side length must be Longer than the difference 18-13 = 5.


Hence, the shortest side length (with an integer value) is 6.    ANSWER



Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

given: two sides are 18 and 13
third side x must be less then their sum:
x+%3C+18%2B13
x%3C+31.......since we need side length, exclude negative numbers and 0
x=1,2, 3,........30
since one side 18 must be also less then the sum of 13 and x,
18%3C13%2Bx
18-13%3Cx
x%3E5
first whole number greater than 5 is 6
so, the smallest possible whole number length for the third side is 6