# No Individual Distance Was Found!

Geometry Level 5

We are given a regular pentagon $$A_1A_2A_3A_4A_5$$ in the Cartesian plane centered at the origin with $$A_1 = (1,0)$$. Let $$P = (1, \sqrt{3})$$.

Denote $$z = \displaystyle \prod_{i=1}^5 m(PA_i)$$, where $$m(AB)$$ denotes the length of segment $$AB$$.
Submit your answer as $$z^2$$.

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