we know that
the median is the segment that joins each vertex with the midpoint of the opposite side
using a graph tool
see the attached figure
Step 1
Find the midpoint segment BC
B(4, –1), and C(–2, –9)
Xm=(4-2)/2=1
Ym=(-1-9)/2=-5
the midpoint BC is (1,-5)
the length of median is the distance point A(-6,7) and midpoint BC (1,-5)
d=√(12²+7²)=√193=13.89 units
the answer is 13.89 units
