SOLUTION: can a triangle have side lengths of 1, 1, and 2.5?

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Question 1010491: can a triangle have side lengths of 1, 1, and 2.5?
Found 3 solutions by fractalier, rothauserc, MathLover1:
Answer by fractalier(6550)   (Show Source):
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No. The smaller sides will not "stretch" to fit.

Answer by rothauserc(4718)   (Show Source):
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No - the sum of the lengths of any two sides of a triangle must be greater than the third side's length,
consider 1 + 1 < 2.5

Answer by MathLover1(20849)   (Show Source):
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The sum of the lengths of any two sides of a triangle must be greater than the third side.
if a triangle can have side lengths of ,, and , we have:
=> since is not greater than ,a triangle cannot have side lengths of ,, and