Question 27979
If the sides of the triangle are three consecutive whole numbers, then you can name them with all one variable.  For example, if the first side is n, then the next side is n+1, and the other side is n+2 (think about the numbers 5,6,7 to see how this would work).  If the perimeter is 24, then you know that these three sides added together equal 24.  The equation you need to solve is {{{n+n+1+n+2 = 24}}}.  Add like terms to get {{{3n+3 = 24}}}.  Then get {{{3n = 21}}}.  Then divide by 3 to get {{{n = 7}}}.  If 7 is n, then n+1=8, and n+2=9.