answersLogoWhite

0


Best Answer

Suppose the polygon has n sides. Then n*(n-3)/2 = 54

or n*(n-3) = 108

and so, by inspection, n = 12

or you can multiply out the brackets and solve the quadratic equation in n.

User Avatar

Wiki User

12y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: How many sides does a regular polygon have when it has 54 diagonals?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

What is the name of the only regular polygon which has as many diagonals as it has sides?

pentagon


How many diagonals are there in a polygon of 11 sides?

how many diagonals are there iin a polygon of 11 sides


How many diagonals does a regular polygon have?

For a polygon with n sides, there would be n*(n-3)/2


How many diagonals does a polygon with 3 sides have?

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


How many diagonals can you draw from one vetex in a polygon with 35 sides?

It depends if the polygon is convex or concave but if it is a regular polygon it would have 560


How many sides are there in the polygon if the number of diagonals is twice as the number of sides?

A 7 sided polygon has 14 diagonals


How many diagonals are in a polygon with 14 sides?

There are 77 diagonals


The number of diagonals that can be drawn in a polygon with n sides can be determined by nn - 32 How many diagonals can be drawn in a polygon with 10 sides?

38 diagonals


What polygon has twice as many diagonals as sides?

An heptagon has 7 sides and 14 diagonals


How many sides does a polygon have when it has 35 diagonals?

It will have ten sides


How many number of side does it have in a closed polygon with 14 diagonals?

A polygon with 14 diagonals will have 7 sides


How many sides does an irregular polygon have if it has 135 diagonals?

Let the number of sides be x and by solving the equation for diagonals 0.5(x*x-3x) = 135 the solution is -15 or 18 and so therefore it has 18 sides irrespective if it is an irregular or a regular polygon