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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-> 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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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