Square *ABCD* has side length 1 unit. Points *E* and *F* are on sides *AB* and *CB*, respectively, with *AE=CF*. When the square is folded along the lines *DE* and *DF*, sides *AD* and *CD* coincide and lie on diagonal *BD*. The length of segment *AE* can be expressed in the form \(\sqrt{k}-m\) units. What is the integer value of *k+m*?

Nevermind i lost my attempts and got in wrong ;-;

Guest Oct 6, 2020

edited by
Guest
Oct 6, 2020