Question 439871
the perimeter of a triangle is{{{P=a+b+c}}}

1 side has a measurement of {{{a=5}}}, another is {{{b=8}}} and the 3rd is {{{c}}}

{{{P=5+8+c}}}

the 3rd side  {{{c}}} has to be 

greater than (8 - 5) and less than (8 + 5)

{{{c>3}}} and {{{c<13}}}

the answer: the greatest possible value of the perimeter of a triangle will be if {{{c=12}}} 

{{{P=5+8+12=25}}}