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  • A regular polygon has 27 diagonal. Find the number of sides in the regular polygon.

A regular polygon has 27 diagonal. Find the number of sides in the regular polygon.

Answers (1)

The number of diagonals of a regular polygon = n(n-3)/2

27=n(n-3)/2

54=n2-3n

n2-3n-54=0

(n-9)(n+6)=0

n=9

n=-6

The number of dioganal cant be -6, therefore n=9

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Safeer PP

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