answersLogoWhite

0

In short:

The Pentagon

In Long:

The formula for the number of diagonals is

(x*(x-3))/2

So if you make that equal to x you get 5.

(x(x-3))/2=x

(x^2-3x)/2=x

x^2-3x=2x

x^2-5x=0

x=0 or x-5=0

x=0 or x=5

x=5

Because there is no polygon with 0 sides and the pentagon is defined as a polygon with 5 sides, the pentagon is the only regular polygon with the same amount of diagonals as it has sides.

User Avatar

Wiki User

12y ago

Still curious? Ask our experts.

Chat with our AI personalities

MaxineMaxine
I respect you enough to keep it real.
Chat with Maxine
LaoLao
The path is yours to walk; I am only here to hold up a mirror.
Chat with Lao
SteveSteve
Knowledge is a journey, you know? We'll get there.
Chat with Steve

Add your answer:

Earn +20 pts
Q: What polygon has the same number of diagonals as it has sides?
Write your answer...
Submit
Still have questions?
magnify glass
imp