for which the following statement is true: If positive integers 
and 
are such that 
is a multiple of 
and 
is a multiple of 
be an acute triangle with circumcenter 
.
,
on side 
.
passing through 
at point 
.
and 
the product of all 
.![$\sqrt[2024]{p(n)} \in \mathbb{Z}$](http://latex.artofproblemsolving.com/7/0/4/70442d4ec6ae8b7a3cf9717719e862bf3b5d4a28.png)
and is not a perfect power of another integer.
Y by
Let ![$[ABCD]$](//latex.artofproblemsolving.com/c/d/3/cd3361fb9586094387d885d23e9efce948e8b291.png)
be a parallelogram with 
and let 
be points on the circle that passes through 
and 
such that 
and 
are tangents to this circle. Knowing that 
, determine 
.
![$[ABCD]$](http://latex.artofproblemsolving.com/c/d/3/cd3361fb9586094387d885d23e9efce948e8b291.png)
be a parallelogram with 
and let 
be points on the circle that passes through 
and 
such that 
and 
are tangents to this circle. Knowing that 
, determine 
.This post has been edited 1 time. Last edited by parmenides51, Oct 10, 2020, 7:16 AM
.
is equilateral
cut 
at 
.
Hence 
- equilateral and 
.
