SOLUTION: An median of a triangle line segment from a vertex perpendivular to opposite side. Find the length of median with vertices V1=(3,-2),(-4,1),(3,-5)

Algebra ->  Length-and-distance -> SOLUTION: An median of a triangle line segment from a vertex perpendivular to opposite side. Find the length of median with vertices V1=(3,-2),(-4,1),(3,-5)       Log On


   

Question 1085967: An median of a triangle line segment from a vertex perpendivular to opposite side. Find the length of median with vertices
V1=(3,-2),(-4,1),(3,-5)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The median joins the vertex to the midpoint of the opposing side.
It's not necessarily perpendicular.
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A:(3,-2)
B:(-4,1)
C:(3,-5)
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Find the midpoint of each segment,
x%5BmAB%5D=%283-4%29%2F2=-1%2F2
y%5BmAB%5D=%28-2%2B1%29%2F2=-1%2F2
x%5BmBC%5D=%28-4%2B3%29%2F2=-1%2F2
y%5BmBC%5D=%281-5%29%2F2=-2
x%5BmAC%5D=%283%2B3%29%2F2=3
y%5BmAC%5D=%28-2-5%29%2F2=-7%2F2
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You can then find the lengths of each median using the distance formula,
M%5BA%5D%5E2=%283-%28-1%2F2%29%29%5E2%2B%28-2-%28-2%29%29%5E2
M%5BB%5D%5E2=%28-4-3%29%5E2%2B%281-%28-7%2F2%29%29%5E2
M%5BC%5D%5E2=%283-%28-1%2F2%29%29%5E2%2B%28-5-%28-1%2F2%29%29%5E2
Work those out for the final answers.