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.
Chat with our AI personalities
A polygon has exactly the same number of both internal and external angles to the number of sides. Assuming external angles count, there are two times the number of sides as the total number of angles
They are the same.
A polygon with all sides the same length and all angles the same measure is called a regular polygon. Examples include triangles, squares, pentagons, and hexagons. When the number of sides approaches infinity, the shape of a circle is formed.
It depends. A polygon can have any number of sides, in the same way as a circle can have any radius.
a polygon with 4 right angles and 4 sides of the same length