menu
Qammunity.org
Login
Register
My account
Edit my Profile
Private messages
My favorites
In a quadrilateral, a student can draw two diagonals. In a pentagon, a student can draw five diagonals. In a hexagon, a student can draw nine different diagonals. How many diago…
Ask a Question
Questions
Unanswered
Tags
Ask a Question
In a quadrilateral, a student can draw two diagonals. In a pentagon, a student can draw five diagonals. In a hexagon, a student can draw nine different diagonals. How many diago…
asked
Aug 2, 2017
224k
views
5
votes
In a quadrilateral, a student can draw two diagonals. In a pentagon, a student can draw five diagonals. In a hexagon, a student can draw nine different diagonals. How many diagonals can be drawn in a regular polygon that has 17 sides?
Mathematics
high-school
Jake Shorty
asked
by
Jake Shorty
8.3k
points
answer
comment
share this
share
0 Comments
Please
log in
or
register
to add a comment.
Please
log in
or
register
to answer this question.
1
Answer
3
votes
Hello,
Let's assume a polygonal of n vertices.
Starting from of vertice we can reach n-1 vertices by 2 must be excluded.
So there are n*(n-1-2) possibilities but each possibility is counted twice
Number of diagonals = n(n-3)/2
Examples:
n=4==>#=4*(4-3)/2=4*1/2=2
n=5==>#=5(5-3)/2=5*2/2=5
n=6==>#=6*(6-3)/2=6*3/2=9
n=17==>#=17*(17-3)/2=119.
Apoorva Manjunath
answered
Aug 8, 2017
by
Apoorva Manjunath
7.7k
points
ask related question
comment
share this
0 Comments
Please
log in
or
register
to add a comment.
← Prev Question
Next Question →
Related questions
asked
Nov 27, 2019
199k
views
How many diagonals are there in a quadrilateral? In a pentagon? In a hexagon? In an octagon? Explain your answer thoroughly. ANSWER RIGHT AWAY IF YOU KNOW THE ANSWER PLEASE!!!
Bhuwan Gautam
asked
Nov 27, 2019
by
Bhuwan Gautam
8.1k
points
Mathematics
middle-school
1
answer
0
votes
199k
views
asked
Jan 25, 2017
168k
views
The diagonals of a polygon are lines that join any two nonadjacent vertices. The square has two diagonals, the pentagon has five, and the hexagon has nine. The equation for the number of diagonals of any
DantheMan
asked
Jan 25, 2017
by
DantheMan
8.4k
points
Mathematics
high-school
2
answers
4
votes
168k
views
asked
Oct 27, 2023
143k
views
In which polygon the number of diagonals is equal with the number of sides a) pentagon b) hexagon c) octagon d) something else
Ascotan
asked
Oct 27, 2023
by
Ascotan
7.9k
points
Mathematics
high-school
1
answer
13
votes
143k
views
Ask a Question
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.
9.4m
questions
12.2m
answers
Categories
All categories
Mathematics
(3.7m)
History
(955k)
English
(903k)
Biology
(716k)
Chemistry
(440k)
Physics
(405k)
Social Studies
(564k)
Advanced Placement
(27.5k)
SAT
(19.1k)
Geography
(146k)
Health
(283k)
Arts
(107k)
Business
(468k)
Computers & Tech
(195k)
French
(33.9k)
German
(4.9k)
Spanish
(174k)
Medicine
(125k)
Law
(53.4k)
Engineering
(74.2k)
Other Questions
How do you can you solve this problem 37 + y = 87; y =
What is .725 as a fraction
How do you estimate of 4 5/8 X 1/3
Twitter
WhatsApp
Facebook
Reddit
LinkedIn
Email
Link Copied!
Copy
Search Qammunity.org