a polygon has 27 diagonals how many sides does it have
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Heya user,
Consider the Formula D = n(n - 3)/2 ,
--> where D is no. of Diagonals, n is no. of sides
And so, Here,
---> n[ n - 3 ] = 2D
=> n² - 3n = 54
=> n² + 6n - 9 - 54 = 0
=> [ n + 6 ] [ n - 9 ] = 0
=> n = 9 <------- Throwing -ve values aside
And hence, your desired Answer is "No. of sides = 9"
Consider the Formula D = n(n - 3)/2 ,
--> where D is no. of Diagonals, n is no. of sides
And so, Here,
---> n[ n - 3 ] = 2D
=> n² - 3n = 54
=> n² + 6n - 9 - 54 = 0
=> [ n + 6 ] [ n - 9 ] = 0
=> n = 9 <------- Throwing -ve values aside
And hence, your desired Answer is "No. of sides = 9"
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