A triangle has a perimeter 21. The two shorter sides have integer lengths equal to x and x + 1. Which of the following could be the length of the other side?  Pick one:  A) 4  B) 5  C) 6  D) 7  E) 8
The SHORTER sides have integral lengths equal to x and x + 1   Let the longest side be 'a'   So, a + x + (x +1) = 21   a + 2x = 20.......eqn (1)   We know that the sum of the lengths of the shorter sides has to be more than the length of the longer one. i.e 2x+1&gt; a   a =8   8
<result>E</result>
A triangle has a perimeter 21. The two shorter sides have integer lengths equal to x and x + 1. Which of the following could be the length of the other side?