SOLUTION: If two of the sides of a triangle have lengths 2 and 1000, how many integer values are possible for the length of the third side?

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Question 230115: If two of the sides of a triangle have lengths 2 and 1000, how many integer values are possible for the length of the third side?
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
You know that the sum of any two sides of a triangle must be larger than the remaining side.
So starting with the side of length 2, we know that 2+%2B+x+%3E+1000 or x+%3E+998
We also 2 + 1000 = 1002. So we know the third side cannot be larger than 1002
x+%3C+1002
Thus 998%3Cx%3C1002 says the integer values must be 999, 1000, 1001