+0  
 
0
5
1
avatar+568 

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?

 May 24, 2024
 #1
avatar+806 
+1

Let's say there are x sides on the polygon. 

 

The number of diagonals can be represented by \( x*(x-1)/2 - x \), meaning we can write the equation

\(2x = x*(x-1)/2 - x\)

 

Solving for this equation, we find that x = 7, which is a heptagon. 

 

A heptagon has 7 sides and indeed has 14 diagonals!

 

Thanks! :)

 May 24, 2024

8 Online Users

avatar
avatar
avatar
avatar
avatar
avatar