answersLogoWhite

0

Suppose the polygon has n sides. Then n*(n-3)/2 = 54

or n*(n-3) = 108

and so, by inspection, n = 12

or you can multiply out the brackets and solve the quadratic equation in n.

User Avatar

Wiki User

12y ago

Still curious? Ask our experts.

Chat with our AI personalities

MaxineMaxine
I respect you enough to keep it real.
Chat with Maxine
BlakeBlake
As your older brother, I've been where you are—maybe not exactly, but close enough.
Chat with Blake
TaigaTaiga
Every great hero faces trials, and you—yes, YOU—are no exception!
Chat with Taiga

Add your answer:

Earn +20 pts
Q: How many sides does a regular polygon have when it has 54 diagonals?
Write your answer...
Submit
Still have questions?
magnify glass
imp