Question 189
be $ABCD$ and $EFGH$ Sides of sides $33$ and $12$, with $EF$ on the side $DC$ (as shown in the figure below). Let $X$ be the intersection point of the segments $HB$ and $DC$. Suppose that $\overline{DE} = 18$. 
a) Calculate segment length $\overline{EX}$.
b) Prove that the points $A, X$ and $G$ are collinear.
a) Calculate segment length $\overline{EX}$.
b) Prove that the points $A, X$ and $G$ are collinear.