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The number of diagonals in a certain regular polygon is equal to $2$ times the number of sides. How many sides does this polygon have?

 Mar 29, 2024
 #1
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Number of  diagonals  of a regular polygon  = n ( n - 3)  / 2     where n is the number of sides

 

So

 

(n) ( n - 3) / 2 =  2n

 

n^2 - 3n  =  4n

 

n^2 - 7n =  0

 

(n) ( n - 7)  = 0

 

n - 7  = 0 

 

n =  7

 

cool cool cool

 Mar 29, 2024

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