wiz-icon
MyQuestionIcon
MyQuestionIcon
2
You visited us 2 times! Enjoying our articles? Unlock Full Access!
Question

A polygon has 35 diagonals. The number of sides of polygon is

A
8
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
9
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
10
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
11
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C 10
We know that, the number of diagonals =n(n3)2
(where n= number of sides of polygon)
Here, n(n3)2=35
n(n3)=70
n23n70=0
(n10)(n+7)=0
n=10 or 7
Since, number of sides can not be negative.
So, it has 10 sides.

flag
Suggest Corrections
thumbs-up
2
Join BYJU'S Learning Program
Join BYJU'S Learning Program
CrossIcon