+8 Hi!! I am having a little trouble with the following question. Could someone help me out?
\(ABCDEFGHI\) is a regular nonagon with side length \(1\). Let \(M\) be the midpoint of \(\overline{EF}\). \(J\) is a point outside the nonagon such that \(AJ=2\) and \(\overline{AJ} \perp \overline{AM}\). Find all possible values of the product
\[AJ\cdot BJ\cdot CJ\cdot DJ\cdot EJ\cdot FJ\cdot GJ\cdot HJ\cdot IJ\]
Thanks!
+8 Turns out there was an error in the question, the nonagon should be inscribed in a circle of radius 1 instead of having a side length of 1. I'm still not sure how to solve it though.
+8 Turns out there was an error in the question, the nonagon should be inscribed in a circle of radius 1 instead of having a side length of 1. Also, AJ=1. I'm still not sure how to solve it though.
