A triangle has a perimeter 15. 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?	Choose the most appropriate option:
A) 7
B) 6
C) 8
D) 9
E) 10
The SHORTER sides have integral lengths equal to x and x + 1   Let the longest side be 'a'   So, a + x + (x +1) = 15   a + 2x = 14.......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 =6   6
<result>B</result>
A triangle has a perimeter 15. 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?