answersLogoWhite

0

Subjects>Math>Geometry

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

User Avatar

Anonymous

∙ 16y 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

∙ 16y 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 902 divisible by?

902 is divisible by 1, 2, 11, 41, 82, 451, and 902.


What is 100 plus 902?

100 + 902 = 1002


What is 897 plus 902?

897 + 902 = 1799


What is 533 plus 902?

533 + 902 = 1435


What is 902-209?

1111

Trending Questions
What is Arc length in welding? Name of a 4 sided shape? How big is 150 square meters? What does a rectangular prism hexagonal pyramid and cube have in common? In 150 square meter how much in feet? A 1 sided polygon? What is the name for something ring-shaped? What is 10ftx10ft in square meters? What is 98 degrees as a suplementry angle? True or false The Spanish founded the city of El Dorado along the Caribbean coast of Columbia? A rectangular garden has a width of 5 feet and a length of 10 feet If an equal amount is added to both the width and the length the area is increased to 84 square feet What is this amount? What is formed by three line segments that intersect only at their end point? How many faces do a retangularvprism have? How many carats does 106 points on a round diamond equal? What types of transformations did mc escherse in his tessellions? Is a rectangle a rhombus because it always have equal sides length? If a figure can be folded along a line so that both parts match perfectly what is it called? What is the midpoint of the line segment with endpoints (-2-2) and (4 6)? What are the differences between notch and orifice? What is the measure of a regular ten sided polygon?

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 ©2026 Infospace Holdings LLC, A System1 Company. 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.