Question

if a length diagonal of a square 4√2 find it's sides

Answer 1

suppose diagonal.as the hypotenuse ,
and side( A) and both the side equal..
now ,

side^2 + Side ^2 = (4√2)^2
a^2 + a^2 = 32
2a^2= 32
a^2 = 16
therefore
a = 4

Answer 2

According to given sum,

Diagnol of a square will be in the form of

=>$s \sqrt{2}$

=> $s \sqrt{2} = 4 \sqrt{2}$

$s = 4$

Hence it's side is 4units