examday

/TMUA

Bonus question. The centroid of a triangle can be calculated by taking the mean of the $x$-coordinates and the $y$-coordinates of its vertices.

In the coordinate plane, the points $A(9,2)$, $B(10,1)$, $C$, $D(4,13)$, $E(3,6)$, and $F$ are given.

Given that triangle $ABC$ and triangle $DEF$ have the same centroid, what is the distance between points $C$ and $F$, in units?