Question 836006

three consecutive even integers:

First integer is "{{{x}}}"
 Add {{{2}}} to get the next even integer, it is "{{{x+2}}}"
 And the third is "{{{x+4}}}"

The perimeter is {{{P=24m}}}

 We know three consecutive even integers represent sides of a triangle and their sum is equal to perimeter {{{P}}}, so we get the equation:
 
{{{x+(x+2)+(x+4) = 24}}}

{{{ 3x +6= 24}}}

{{{ 3x = 24-6}}}

{{{ 3x =18}}}

{{{ x =6}}}

so, the length of each side is:

{{{x=6}}}


{{{x+2=8}}}


{{{x+4=10}}}