SOLUTION: if the sum of the lengths of two sides of a triangle is 18, what is the largest possible integral value for the 3rd side?

Question 512959: if the sum of the lengths of two sides of a triangle is 18, what is the largest possible integral value for the 3rd side?

Found 2 solutions by Alan3354, stanbon:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
17
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
if the sum of the lengths of two sides of a triangle is 18, what is the largest possible integral value for the 3rd .
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Ans: 17
If the 3rd side is 18 the two other sides combined would
only connect the endpoints of the 18-line to form a line:
and would not form a triangle.
If the 3rd side is more than 18 the two "other" sides would
not even connect the endpoints of the 18-line: thus no
triangle would be formed.
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Cheers,
Stan H.
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