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

So you need to solve n*(n-3)/2 = 54

n2 - 3n - 108 = 0 which has the solutions n = 12 or n = -9.

Since a polygon cannot have a negative number of sides, the answer is 12.

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

So you need to solve n*(n-3)/2 = 54

n2 - 3n - 108 = 0 which has the solutions n = 12 or n = -9.

Since a polygon cannot have a negative number of sides, the answer is 12.

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

So you need to solve n*(n-3)/2 = 54

n2 - 3n - 108 = 0 which has the solutions n = 12 or n = -9.

Since a polygon cannot have a negative number of sides, the answer is 12.

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

So you need to solve n*(n-3)/2 = 54

n2 - 3n - 108 = 0 which has the solutions n = 12 or n = -9.

Since a polygon cannot have a negative number of sides, the answer is 12.

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11y ago
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11y ago

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

So you need to solve n*(n-3)/2 = 54

n2 - 3n - 108 = 0 which has the solutions n = 12 or n = -9.

Since a polygon cannot have a negative number of sides, the answer is 12.

This answer is:
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Q: What kind of polygon has 54 diagonals?
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Related questions

How many diagonals does a 54 sided polygon have?

54


What has 54 diagonals?

A twelve sided polygon.


If in a 54 sided polygon all possible diagonals are drawn from one vertex they divide the interior of the polygon into how many regions?

In a 54-sided polygon, 53 possible diagonals can be drawn from one vertex to another. These diagonals will not intersect. Therefore, the interior will be divided into 54 regions by the 53 diagonals plus the two sides of the original polygon that adjoin the vertex from which the diagonals are drawn.


What is the name of a polygon that has 54 diagonals?

It is a dodecagon which has 12 sides Check: 0.5*(144-36) = 54 diagonals


How many diagonals to a dodecagon?

A polygon with n sides has 1/2*n*(n - 3) diagonals. So, for a polygon, with n = 12, there are 54 diagonals.


What are the number of diagonals for a regular polygon with 12 sides?

It is: 0.5*(144-36) = 54 diagonals


What kind of a polygon has 54 diagonals with formula pls?

Formula: 0.5*(n2-3n) = diagonals whereas n is the number of sides So if: 0.5*(n2-3n) = 54 Then: n2-3n-108 = 0 Solving the above quadratic equation gives n a value of -9 and 12 It has to be 12 which means it is a dodecagon polygon


How many diagonals does a 2d decagon have?

54 Diagonals. * * * * * A polygon with n sides has 1/2*n*(n-3) diagonals. So a decagon would have 1/2*10*7 = 35 diagonals. How the Community answer got 54 is anybody's guess!


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.


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 in a 15 sided polygon?

There are 90 diagonals in a 15-sided polygon.