Answer
See the picture below:
![](https://gradesaver.s3.amazonaws.com/uploads/solution/e6222061-67a1-416e-b112-e1c74bdc014b/result_image/1503225432.png?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T012030Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=832f497dba2a76e07e701f6c212e58340ceacb2e0da00d7692fd12d2f7fec7dd)
Work Step by Step
Assuming, that $\overline{AC}=\overline{AB}=\overline{BC}$
triangle ABC is an equilateral triangle. This means $\angle ABC = 60^{\circ}$. But $\angle ABC = 90^{\circ}$ because ABCD is a square.
Therefore $\overline{AC} \ne \overline {AB}$.