Question 63
On the sides $AB$ and $BC$ of an equilateral triangle $ABC$ with side length $a$ we construct the squares $BADE$ and $CBFG$ (see the figure). How long is the segment $DG$?
(A) $(\sqrt{2}+1)a$
(B) $(2\sqrt{2}+1)a$
(C) $(\sqrt{3}+1)a$
(D) $\sqrt{3}a$
(E) 1
(A) $(\sqrt{2}+1)a$
(B) $(2\sqrt{2}+1)a$
(C) $(\sqrt{3}+1)a$
(D) $\sqrt{3}a$
(E) 1