SOLUTION: What is the greatest possible value of the perimeter of a triangle when 1 side has a measurement of 5, another is 8 and the 3rd is missing?

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Question 439871: What is the greatest possible value of the perimeter of a triangle when 1 side has a measurement of 5, another is 8 and the 3rd is missing?
Found 2 solutions by MathLover1, richard1234:
Answer by MathLover1(20849) About Me  (Show Source):
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the perimeter of a triangle isP=a%2Bb%2Bc
1 side has a measurement of a=5, another is b=8 and the 3rd is c
P=5%2B8%2Bc
the 3rd side c has to be
greater than (8 - 5) and less than (8 + 5)
c%3E3 and c%3C13
the answer: the greatest possible value of the perimeter of a triangle will be if c=12
P=5%2B8%2B12=25

Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
The third side has to be greater than 3 and less than 13.

The other tutor let c = 12, since 12 is the integer less than 13. However, c can be 12.9, or 12.99999... as long as it is less than 13. The largest possible value of the perimeter is roughly 5 + 8 + 13, or 26 (infinitesimally smaller than 26).