Question

How do I find GF in this image

Answer 1

I have this:

So EF^2 = 2*GF^2
GF^2 = EF^2/2
GF = sqrt(EF^2/2)
GF = EF/sqrt(2)

Am I close?

Answer 2

The picture doesn't if that shape is an exact square even if it looks like one. Does it?

Answer 3

What you wrote is correct. The only difference from the answer you provided is to multiply both the numerator and denominator by \(\sqrt2\) on the RHS.

Answer 4

\[\overline{GF}=\frac{\overline{EF}\times \sqrt{2}}{\sqrt{2}\times \sqrt{2}}\\
\overline{GF}=\frac{\overline{EF}\times \sqrt{2}}{{2}}
\]