SOLUTION: How many diagonals does a 12-sided regular polygon have? A regular polygon has sides of equal length and equal angles where two sides meet. A diagonal is a line which connects any

Question 314143: How many diagonals does a 12-sided regular polygon have? A regular polygon has sides of equal length and equal angles where two sides meet. A diagonal is a line which connects any two corners of the polygon, but which is not a side of the polygon.
(1) 27 (2) 35 (3) 44 (4) 54 (5) 65
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
each of the 12 corners has a line to the other 11 corners
___ 2 of the lines are sides of the polygon and the other 9 are diagonals

12 * 9 = 108 ___ BUT ___ a diagonal from corner A to corner B is the same as a diagonal from corner B to corner A

108 / 2 = 54
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