A polygon has 44 diagonals, then the number of its sides are	Pick one.
A) 11
B) 9
C) 7
D) 5
E) 3
Let the number of sides be n.   The number of diagonals is given by nC2 - n   Therefore, nC2 - n = 44, n&gt;0   n(n - 1) / 2 - n = 44   n2 - 3n - 88 = 0   n2 -11n + 8n - 88 = 0   n(n - 11) + 8(n - 11) = 0   n = -8 or n = 11.   11NSWER:11
<result>A</result>
A polygon has 44 diagonals, then the number of its sides are