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

A polygon has 44 diagonals, then the number of its sides are


A
11
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
7
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
8
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
None of these
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A 11

Let there be n sides of the polygon. Then it has n vertices.
The total number of straight lines obtained by joining n vertices by taking 2 at a time is nC2.
These nC2 lines also include n sides of the polygon.
Therefore, the number of diagonals formed is nC2n.

Thus, nC2n=44
n(n1)2n=44
n23n2=44
n=11
Verify by actual substitution.


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon