answersLogoWhite

0


Best Answer

The number of diagonals for a shape with x sides is (x²-3x)/2

The number of sides is x

You want to know if x is ever less than (x²-3x)/2 or else (x²-3x)/2 - x > 0

(x² - 3x) / 2 - x > 0

(x² - 3x)/2 - (2x)/x > 0

x² - 3x - 2x > 0

x² - 5x > 0

x(x-5)>0

This only true if x<0 or x>5, and since a polygon cannot have less than 2 sides, x<0 is meaningless.

This means that if x<5 then the number of diagonals is less than the number of sides, equal for x=5, and more for x>5. ■

User Avatar

Wiki User

13y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: Does a polygon ever have more diagonals than sides?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

Are there diagonals in an Heptagon?

Yes. Any polygon with four or more sides has diagonals. However, a triangle does not.


How many diagonals does a 2 sided polygon have?

There is no such polygon because a polygon must have at least 3 sides or more.


Which shapes have more than two diagonals?

Any polygon with more than 4 sides.


What forms within a polygon shape?

Interior angles and if it has more than 3 sides also diagonals


Can a regular polygon with more than 6 sides ever tessellate?

No because as the polygon gets smaller the angles and sides get biggerso they can't tessellate by themselves.


How could you explain a polygon has more sides than angles?

I'd have to see one first. So far, no polygon I've ever seen had more sides than angles.


A polygon with five or more sides?

A polygon with 5 or more sides can be a stop sign it has 8 sides.


Does a cube have more sides than a polygon?

" A polygon is a closed figure bounded by three or more than three sides." A cube has twelve sides whereas a polygon has more than two sides. Since it is not mentioned which polygon we are talking about we can't tell if cube has more sides.


How many more sides does a polygon have than a octagon?

an octagon is a polygon. an octagon has 8 sides. a polygon is a shape with closed sides.


Does a polygon usually have more sides or more angels?

Any polygon has the same number of angles as its sides.


Can a dodecagon tessellate?

No, there is no polygon with 7 or more sides can tessellate.


Must a polygon have more than three sides?

A polygon must have 3 or more sides as with a triangle for example