Triangle abc has vertices of a(–6, 7), b(4, –1), and c(–2, –9). find the length of the median from a) 4 b) square root of 18 c) 8 d) square root of 68

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

Where’s the