0

Subjects>Math>Math & Arithmetic

How many sides does a regular polygon have when it has 54 diagonals?

Anonymous

∙ 13y ago

Updated: 12/22/2022

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.

Wiki User

∙ 13y ago

What else can I help you with?

Continue Learning about Math & Arithmetic

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

A polygon with 14 diagonals will have 7 sides

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

Trending Questions

What is 3.25 in mixed fraction? What is the size of interior angle of nonagon? An equation that shows two ratios are equivalent? What two numbers are multiplied to make of 421? What is 325 over 625 in simplest form? Is 63 prime? What is inverse of a function? Can a theorem be used to justify the steps of proof? How many rectangles can you draw with a fixed perimeter of 15 cm but having each one a different area? Use the word knapsack in a sentence? How many images of a candle will be formed if it is placed between two parallel? How do you get slope with no graph? Is a negative fraction greater than 0? What is 80 times 97? Is -40 the square root of 1600? If there are 50 floats in a parade how many ways can a first place and a second place win a trophy? Find the slope of the line identified by the equation 4x plus 5y equals 20? What is the product of 4 times 27? How many times does 9 go into 387? Find the area of an isosceles triangle that has two sides 34cm long and the base is 32cm long with a height of 30cm Show your work and explain the formula you used?

Resources

Top Categories

Product

Company

Copyright ©2025 Answers.com | Lunias Media Inc. All Rights Reserved. The material on this site can not be reproduced, distributed, transmitted, cached or otherwise used, except with prior written permission of Answers.