+1768 In $\triangle ABC$ we have $AB=25$, $BC=39$, and $AC=42$. Points $D$ and $E$ are on $\overline{AB}$ and $\overline{AC}$ respectively, with $AD=15$ and $AE=12$. What is the ratio of the area of triangle $ADE$ to the area of the quadrilateral $BCED$?
