Question 96
Lucia draws a unit square $ABCD$ and a circle centered at $C$ with radius equal to the square's side. Let $X$ be the intersection of diagonal $AC$ with the circle, and $Y$ the intersection of line $DX$ with side $AB$. Find $AY$.
(A) $(\sqrt2+1)/6$
(B) $\sqrt2-1$
(C) $\sqrt2/3$
(D) $(3+\sqrt2)/8$
(E) $\sqrt2/2$
(A) $(\sqrt2+1)/6$
(B) $\sqrt2-1$
(C) $\sqrt2/3$
(D) $(3+\sqrt2)/8$
(E) $\sqrt2/2$