SOLUTION: Triangle has vertices of A(–6, 7), B(4, –1), and C(–2, –9). Find the length of the median from in triangle . A.

Algebra ->  Triangles -> SOLUTION: Triangle has vertices of A(–6, 7), B(4, –1), and C(–2, –9). Find the length of the median from in triangle . A.       Log On


   

Question 884235: Triangle has vertices of A(–6, 7), B(4, –1), and C(–2, –9). Find the length of the median from in triangle .
A.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Find the midpoints of the sides of the triangle.
AB:
x%5BAB%5D=%28-6%2B4%29%2F2=-2%2F2=-1
y%5BAB%5D=%287-1%29%2F2=6%2F2=3
AC:
x%5BAC%5D=%28-6-2%29%2F2=-8%2F2=-4
y%5BAC%5D=%287-9%29%2F2=-2%2F2=-1
BC
x%5BBC%5D=%284-2%29%2F2=2%2F2=1
y%5BBC%5D=%28-1-9%29%2F2=-10%2F2=-5
Now find the lengths of the medians using the distance formula,
D%5BA%5D%5E2=%28-6-1%29%5E2%2B%287-%28-5%29%29%5E2=49%2B144=193
D%5BA%5D=sqrt%28193%29
.
.
D%5BB%5D%5E2=%284-%28-4%29%29%5E2%2B%28-1-%28-1%29%29%5E2=64%2B0=64
D%5BB%5D=8
.
.
D%5BC%5D%5E2=%28-2-%28-1%29%29%5E2%2B%28-9-3%29%5E2=1%2B144=145
D%5BC%5D=sqrt%28145%29