Let $L_n:$ the side length of a regular $n$-polygon inscribed in a unit fixed circle.
We have an interesting relationship:
$L_6^2+L_6^2=L_4^2$
$L_6^2+L_4^2=L_3^2$
$L_{10}^2+L_6^2=L_5^2$
There are more solutions: $L_m^2+L_n^2=L_p^2$ ?
Let $L_n:$ the side length of a regular $n$-polygon inscribed in a unit fixed circle.
We have an interesting relationship:
$L_6^2+L_6^2=L_4^2$
$L_6^2+L_4^2=L_3^2$
$L_{10}^2+L_6^2=L_5^2$
There are more solutions: $L_m^2+L_n^2=L_p^2$ ?
This will not answer the question as phrase, but: