How many diagonals can there be put in a 12-gon?

1 Answer
Nam D.
May 30, 2018

#54#

Explanation:

The number of diagonals that are possible to draw in an #n#-sided polygon is #(n(n-3))/2#.

In a dodecahedron, #n=12#, so the number of diagonals possible is:

#d=(12*(12-3))/2#

#=(12*9)/2#

#=108/2#

#=54#

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