MHB Length of $\overline{CE}$ in Square $ABCD$ with $45^o$ Angle

[Albert1]

A square $ABCD$ , each side with length 13,
if points $E,F$ on $\overline{BC} ,\overline{AB} $ respectively,$\angle EDF=45^o,$and $\overline{EF}=11$
find length of $\overline{CE}=?$

 

[Albert1]

A square $ABCD$ , each side with length 13,
if points $E,F$ on $\overline{BC} ,\overline{AB} $ respectively,$\angle EDF=45^o,$and $\overline{EF}=11$
find length of $\overline{CE}=?$

hint:

Spoiler

use pythagorean theorem