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?

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) (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 or
We also 2 + 1000 = 1002. So we know the third side cannot be larger than 1002

Thus says the integer values must be 999, 1000, 1001
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