wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

If a polygon of n sides has 275 diagonals, then nis equal to


A

25

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B

35

No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

20

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

15

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A

25


Finding the value of n:

Let, number of sides =n, number of vertex =n, number of lines =C2n

Number of diagonals =C2nn=n(n-3)2

275=n(n-3)2n2-3n=550n23n550=0

Solving for n, we get;

n=25,-22

The number of sides cannot be negative. Therefore, n=25.

Hence, the correct option is (A).


flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon