Question

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

Answer 1

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