a diagonal of side x has n(n-3)/2 diagonals. how many sides has a polygon with 54 diagonals

Asked by renukasahu8 | 20th Oct, 2010, 07:38: AM

Expert Answer:

Dear student,
It is known that if a polygon has n sides, then it will have diagonals.
Now, let the polygon has n number of sides.
Number of diagonals = 54
Therefore,
But, number of sides cannot be negative.
Thus, the polygon will have 12 sides.
 
We hope that clarifies your query.
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Team
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Answered by  | 20th Oct, 2010, 09:57: AM

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