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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?

 Jun 18, 2024
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Number of diaginals in a regular polygon =   (n) (n-3) / 2   ....  where n = 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

 Jun 18, 2024

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