answersLogoWhite

0

What polygon has 6 diagonals?

User Avatar

Anonymous

16y ago
Updated: 10/17/2024

There cannot be a polygon with 6 diagonals.

A polygon with n vertices has n*(n-3)/2 diagonals.

If this is 6, then n*(n-3)/2 = 6

therefore n*(n-3) = 12

and so n^2 - 3n - 12 = 0

The only solutions to this equation are n = 1.5-sqrt(57)/2 or 1.5+sqrt(57)/2.

However, n, being the NUMBER of vertices cannot be an irrational number and so there is no solution.

User Avatar

Wiki User

11y ago

What else can I help you with?

Related Questions

How many diagonals does a polygon with 6 sides have?

9


What is the name of a regular polygon that has 95 diagonals?

There is no such polygon that has 95 diagonals because a 15 sided polygon has 90 diagonals and a 16 sided polygon has 104 diagonals.


How many diagonals are in a nine sided figure?

A polygon with n sides has n*(n-3)/2 diagonals. Simple as that. So a 9 sided polygon has 9*6/2 = 27 diagonals.


How many diagonals in a 6 sided polygon?

There are three diagonal lines in a six sided Polygon(Hexagon)


104 diagonals polygon?

A polygon that has 104 diagonals will have 16 sides


How many diagonals does a polygon with 3 sides have?

That polygon is called a "triangle". It has no diagonals.


How many diagonals are there in a hexagon?

In a polygon with n sides there are n*(n-3)/2 diagonals. For a hexagon, n = 6 giving 9 diagonals in all.


What is the total number of diagonals in a regular polygon with an interior angle of 120 degrees?

If it is a regular polygon with each interior angle of 120 degrees then it is an hexagon which will have 0.5((6^2)-3*6) equals 9 diagonals


How many diagonals does an 11-sided polygon have?

An 11 sided polygon has 44 diagonals.


How many diagonals in a 15 sided polygon?

There are 90 diagonals in a 15-sided polygon.


How many diagonals does a four-sided polygon have?

A four-sided polygon has two diagonals.


How many diagonals in a 9 sided polygon?

It depends. It doesn't have to always be the same shape. So it can be 0, it can be 1, as long as it has straight lines and is a closed figure, it's a polygon. * * * * * What? A polygon with n sides has n*(n-3)/2 diagonals. Simple as that. So a 9 sided polygon has 9*6/2 = 27 diagonals.