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A polygon has 27 diagonals .how …

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A polygon has 27 diagonals .how many sides does it have

Posted by Khushi Agrawal 6 years, 11 months ago

CBSE > Class 08 > Mathematics

5 answers

Harshit Srivastava 6 years, 11 months ago

9

Sonali Aggarwal 6 years, 11 months ago

no of diagonals= n(n-3)/2

27=n^2-3n/2

54=n^2-3n

n^2-3n-54

n^2-9n+6n-54

n(n-9)+6(n-9)

(n-9)(n+6)

n=9,-6 -6 is not possible so 9 is the answer.

Krishna Kelapure 6 years, 11 months ago

9 by formula of no. Of diagonals 27=n(n-3)/2

Ajeet Kumar 6 years, 11 months ago

9

Khushi Agrawal 6 years, 11 months ago

9

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