MathNet 2008-part-03 — 165 problems (EN–VI) Question 134

The area of the triangle $ABC$ with vertices $A(-1,-6)$, $B(1,0)$, $C(3,-3)$ is $9$. Calculate the length of the median to the side $b$ and the distance between the foot of the altitude to the side $b$ and the midpoint of the side $b$.