जॉइन Examsbookउत्तर : 3. "11"
A polygon has 44 diagonals, then the number of its sides are ?5
प्र: A polygon has 44 diagonals, then the number of its sides are ?
- 113false
- 29false
- 311true
- 47false
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उत्तर : 3. "11"
व्याख्या :
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.