Question 82
Take an equilateral triangle $ABC$ with the side of length $a$. Draw the squares $BADE$ and $CBFG$ on the sides $AB$ and $BC$, respectively (see figure). How long is the line 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