All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Just Math
Diagonals Of A Polygon (Posted on 2004-01-31) Difficulty: 2 of 5
A polygon has 1325 diagonals. How many vertices does it have?

No Solution Yet Submitted by Ravi Raja    
Rating: 2.4167 (12 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Diagonals and vertices | Comment 9 of 16 |
Ms Doe,

In a polygon, the number of vertices equals the number of sides it has, as you said, an octagon has eight, a rectangle has 4 etc. However, it does not have to be equal to TWICE the number of diagonals. A rectangle can have UP TO two diagonals, and an octagon can have UP TO 8x5/2=20 diagonals, as stated in the first two solutions.

The number of diagonals does not determine the number of vertices, but the number of vertices determine the MAXIMUM number of distinct diagonals one can draw within the polygon.
I go with the first two solutions.
Best regards.
  Posted by P C on 2004-02-04 19:24:43
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (10)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information