How many diagonals are in a 17 gon polygon?

Answer 1

To find the number of diagonals in a polygon with ( n ) sides, you can use the formula ( \frac{n(n-3)}{2} ). For a 17-gon, substituting ( n = 17 ) gives:

[ \frac{17(17-3)}{2} = \frac{17 \times 14}{2} = \frac{238}{2} = 119. ]

Thus, a 17-gon has 119 diagonals.