SOLUTION: A triangle has two sides of length 8 and 2. What is the smallest possible whole-number length for the third side?

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Question 944005: A triangle has two sides of length 8 and 2. What is the smallest possible whole-number length for the third side?
Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!
Let the third side = x.

The sum of any two sides must be greater than the third side

8 + 2 > x
   10 > x

8 + x > 2
    x > -6

2 + x > 8
    x > 6

So 6 < x < 10

So the smallest whole number length the third side could have is 7.
The largest whole number length the third side sould have is 9.

Edwin

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