Marinada '23

[lang = hr] The bisectors of the internal angles of parallelogram $ABCD$ determine a quadrilateral with the same area as $ABCD$. Given that $AB > BC$, find the ratio $\frac{AB}{BC}$. Write your answer rounded to $3$ decimal places. [/lang] [lang = en] The bisectors of the internal angles of parallelogram $ABCD$ determine a quadrilateral with the same area as $ABCD$. Given that $AB > BC$, find the ratio $\frac{AB}{BC}$. Write your answer rounded to $3$ decimal places. [/lang]