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.
A twelve sided polygon.
It is a dodecagon which has 12 sides Check: 0.5*(144-36) = 54 diagonals
It is: 0.5*(144-36) = 54 diagonals
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!
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.
54
A twelve sided polygon.
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.
It is a dodecagon which has 12 sides Check: 0.5*(144-36) = 54 diagonals
A polygon with n sides has 1/2*n*(n - 3) diagonals. So, for a polygon, with n = 12, there are 54 diagonals.
It is: 0.5*(144-36) = 54 diagonals
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
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!
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.
A polygon that has 104 diagonals will have 16 sides
That polygon is called a "triangle". It has no diagonals.
There are 90 diagonals in a 15-sided polygon.