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If a polygon has 44 diagonals, then the number of its sides are
  • a)
    11    
  • b)
    7
  • c)
    8    
  • d)
    9
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
If a polygon has 44 diagonals, then the number of its sides area)11 b)...
Solution:
Let the number of sides in the polygon be n.
The number of diagonals that can be drawn from any one vertex is (n-3).
Therefore, the total number of diagonals in the polygon is given by the formula:
(nC2) - n = (n(n-1))/2 - n = (n^2 - 3n)/2
According to the question, (n^2 - 3n)/2 = 44
On solving the above equation, we get n = 11.
Therefore, the number of sides in the polygon is 11.
Hence, the correct option is (a) 11.
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Community Answer
If a polygon has 44 diagonals, then the number of its sides area)11 b)...

∴ n = 11
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If a polygon has 44 diagonals, then the number of its sides area)11 b)7c)8 d)9Correct answer is option 'A'. Can you explain this answer?
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