Question 21
The $A'$, $B'$, $C'$ dots of the sides $BC$, $CA$, $AB$ of the triangle $ABC$ meet $$
\frac{AC'}{C'B} = \frac{BA'}{A'C} = \frac{CB'}{B'A} = k
$$ the lines $AA'$, $BB'$, $CC'$ form a triangle $A_1B_1C_1$. Dice $k$ and the area $S$ of the triangle $ABC$, calculate the area of the triangle $A_1B_1C_1$.
\frac{AC'}{C'B} = \frac{BA'}{A'C} = \frac{CB'}{B'A} = k
$$ the lines $AA'$, $BB'$, $CC'$ form a triangle $A_1B_1C_1$. Dice $k$ and the area $S$ of the triangle $ABC$, calculate the area of the triangle $A_1B_1C_1$.