answersLogoWhite

0

Subjects>Math>Geometry

How many sides does a polygon have if it has 902 diagonals?

User Avatar

Anonymous

∙ 15y ago
Updated: 4/28/2022

Let n be the number of sides:

1/2*(n2-3n) = diagonals

1/2*(n2-3n) = 902

Multiply both sides by 2 and form a quadratic equation:

n2-3n-1804 = 0

Solving the above by means of the quadratic equation formula gives a positive value for n as 44

Therefore the polygon has 44 sides

User Avatar

Wiki User

∙ 15y ago
Copy

What else can I help you with?

Continue Learning about Geometry
Related Questions

How many diagonals does a 44 sided polygon has?

It has 40 diagonals.Improved Answer:-Using the formula for diagonals of a polygon: 0.5*(442-132) = 902 diagonals


How many times does 4 go into 902?

It is: 902/4 = 225.5


How many miles is 902 feet?

5280 feet = 1 mile 902 feet = 902/5280 = 451/2640 = 0.170833 miles


How many kilometers are there in 902 miles?

There are 1.609344 kilometres in one mile. Therefore, 902 miles is equal to 902 x 1.609344 = 1451.628288 kilometres.


How many miles is 902 kilometers?

1 km=0.621 miles so, 902 kms=560.142 miles


What is 902x902?

902 x 902 = 813604


902 oz equals how many grams?

25,571.27 grams.


What is 897 plus 902?

897 + 902 = 1799


What is 533 plus 902?

533 + 902 = 1435


What is 100 plus 902?

100 + 902 = 1002


What is 902-209?

1111


What is the answer for 902 - 209?

693

Trending Questions
What are the three components of fire triangle? What is square feet of a building? What has one surface and one surface that's curved and that has no base? What is the perimeter of a rectangular kleenex box? How much square feet is the whole world? How many vertices does an icosahedron have? Is it possible to have an acute scalene triangle? What is a true statement about diodes? How many 10cm lengths are there in 5m? What is the angle of 159 degree? The tan of a 28 degree angle equals? How many square meters have you got 5x5 square meter? What fraction of a circle is 20 degrees? Why does Sine Theta equal Sine 180 minus Theta? How many right angles are in a octagon? What is the power of the pyramid? How many faces vertices and edges does a ice cream cone have? Does a parallelogram have 4 sides? What type of shape and size is a manta rays skeleton? How do you find the perimeter of a regular nonagon?

Resources

Leaderboard All Tags Unanswered

Top Categories

Algebra Chemistry Biology World History English Language Arts Psychology Computer Science Economics

Product

Community Guidelines Honor Code Flashcard Maker Study Guides Math Solver FAQ

Company

About Us Contact Us Terms of Service Privacy Policy Disclaimer Cookie Policy IP Issues
Answers Logo
Copyright ©2025 Answers.com. 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.