step-by-step explanation: her feetare square
they are the same length
to solve this, let's draw lines ae and de. since ab = cd, gd = fa. using the pythagorean theorem, we have that ef^2 = ae^2-fa^2 and eg^2 = de^2-dg^2. because ae and de are radii of the same circle, they are equal, and since dg = fa, we can find that eg^2 = ae^2-fa^2 too, so this means that they are the same length.
i originally put fa switched, so it was an acronym for a bad word. good thing i found out!