Last visit was: 12 Nov 2024, 12:03 It is currently 12 Nov 2024, 12:03

Close

GRE Prep Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GRE score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel
Verbal Expert
Joined: 18 Apr 2015
Posts: 29944
Own Kudos [?]: 36204 [0]
Given Kudos: 25902
Send PM
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Own Kudos [?]: 12186 [2]
Given Kudos: 136
Send PM
User avatar
Manager
Manager
Joined: 01 Nov 2018
Posts: 87
Own Kudos [?]: 144 [3]
Given Kudos: 0
Send PM
User avatar
Manager
Manager
Joined: 01 Nov 2018
Posts: 87
Own Kudos [?]: 144 [0]
Given Kudos: 0
Send PM
Re: The diagonal of a polygon is a line segment from any vertex [#permalink]
1
Expert Reply
If you dont feel like memorizing another formula, try this

triangle 3 sides = 0 diagonals
Square 4 sides = 2 diagonals
Pentagon 5 sides = 5 diagonals
Hexagon 6 sides = 9 diagonals
see the pattern?

just bump up each increase in diagonals by 1 more than the previous bump.

7 sides = 14 diagonals
8 sides = 20 diagonals
9 sides = 27 diagonals
10 sides = 35 diagonals
avatar
Intern
Intern
Joined: 15 Sep 2018
Posts: 6
Own Kudos [?]: 12 [4]
Given Kudos: 0
Send PM
Re: The diagonal of a polygon is a line segment from any vertex [#permalink]
4
A diagonal consists of 2 points, so choosing 2 points out of 10 => 10C2 => 45. Now we subtract all the lines (which are the edges of the polygon) formed by connecting two adjacent points, so 45 - 10 = 35.

Therefore, the answer is 35.
avatar
Intern
Intern
Joined: 22 Jul 2019
Posts: 14
Own Kudos [?]: 21 [0]
Given Kudos: 75
Location: United States
Send PM
Re: The diagonal of a polygon is a line segment from any vertex [#permalink]
Notes about diagonal
#Formula for total number of diagonal of any regular polygon = n(n-3)/2 here n is number sides
Number of diagonal can be drawn from any vertex = n-3


#length of diagonal of a square= s√2 here 's' is length of side

#length of Main diagonal of a cube= s√3
however, length of "face" diagonal of a cube = s√2


# length of diagonal of a rectangle = √(a^2+b^2) , here a & b are sides of rectangle
# length of diagonal of a Solid rectangle = √(a^2+b^2+c^2) ,here a,b & c are sides of solid rectangle
User avatar
GRE Prep Club Legend
GRE Prep Club Legend
Joined: 07 Jan 2021
Posts: 5008
Own Kudos [?]: 74 [0]
Given Kudos: 0
Send PM
Re: The diagonal of a polygon is a line segment from any vertex [#permalink]
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Prep Club for GRE Bot
Re: The diagonal of a polygon is a line segment from any vertex [#permalink]
Moderators:
GRE Instructor
78 posts
GRE Forum Moderator
37 posts
Moderator
1111 posts
GRE Instructor
234 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne