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!

ElemetraryQuestions Jan 3, 2024

#1**0 **

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.

ElemetraryQuestions Jan 3, 2024

#2**0 **

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.

ElemetraryQuestions Jan 3, 2024