Question 144
Let $D, E, F$ be the tang points of the circle inscribed to the triangle $A B C$ with sides $B C, A C$ and $A B$ respectively. It shows that $$
4 S_{D E F} \leq S_{A B C}
$$ where $S_{X Y Z}$ denotes the area of the triangle $X Y Z$.
4 S_{D E F} \leq S_{A B C}
$$ where $S_{X Y Z}$ denotes the area of the triangle $X Y Z$.