Question 29
In triangle $ABC$, $D\in AB$, $E\in AC$ and $\angle ADE=\angle ACB$. The perimeter of $ABC$ is twelve times that of $ADE$. If $[ADE]=14$, find $[ABC]$.
Here $[ADE]$ and $[ABC]$ denote the areas of triangles $ADE$ and $ABC$, respectively.
Here $[ADE]$ and $[ABC]$ denote the areas of triangles $ADE$ and $ABC$, respectively.