Join Examsbook
1055 0

Q: A polygon has 44 diagonals, then the number of its sides are ?

  • 1
    13
  • 2
    9
  • 3
    11
  • 4
    7
  • Show AnswerHide Answer
  • Workspace

Answer : 3. "11"
Explanation :

Answer: C) 11 Explanation: Let the number of sides be n.  The number of diagonals is given by nC2 - n   Therefore, nC2 - n = 44, n>0  nC2 - n = 44 n2 - 3n - 88 = 0  n2 -11n + 8n - 88 = 0   n(n - 11) + 8(n - 11) = 0  n = -8 or n = 11.   As n>0, n will not be -8. Therefore, n=11.

Are you sure

  Report Error

Please Enter Message
Error Reported Successfully