Question 12
Suppose $ABC$ is a triangle such that $AB = 13$, $BC = 15$, and $CA = 14$. Say $D$ is the midpoint of $\overline{BC}$, $E$ is the midpoint of $\overline{AD}$, $F$ is the midpoint of $\overline{BE}$, and $G$ is the midpoint of $\overline{DF}$. Compute the area of triangle $EFG$.