SOLUTION: If the lengths of two sides of a triangle are 4 and 13, what is the range of possible lengths for the third side?

Question 443778: If the lengths of two sides of a triangle are 4 and 13, what is the range of possible lengths for the third side?

Found 2 solutions by stanbon, swincher4391:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
If the lengths of two sides of a triangle are 4 and 13, what is the range of possible lengths for the third side?
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Let the 3rd side be "s".
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The 13-4 < s < 13+4
9 < s < 17
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Cheers,
Stan H.
Answer by swincher4391(1107) (Show Source): You can put this solution on YOUR website!
Let a,b be the shortest two sides of a triangle, c the longest.
Then this must happen
Assume that a=4 and b = 13.
Then
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Now assume short side 4 (call it b) and c = 13
Then ...
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Then given two sides, 4, 13, x: The possible values of x range
between 9 and 17 (not inclusive).
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