Answer:
(√2)x/2 or (√2/2)x
Step-by-step explanation:
Let's draw two squares, one with diagonal length x and the other with diagonal length √2. In the second case, the side length is 1, which you can confirm by recalling that 1^2 + 1^2 = 2*1^2 and √2*1^2 = √2.
These two squares are similar, even if they're of different sizes.
Writing an equation of ratios, we get:
side length 1
---------------------- = -------------
x √2
Then (side length)*√2 = x (after cross-multiplication)
and so (side length) = x/√2 or (√2)x/2 or (√2/2)x
