SOLUTION: Find the lengths of the medians of the triangle, the vertices of which are A(-5,4) , B(3,6) and C(1,-4)

Algebra ->  Length-and-distance -> SOLUTION: Find the lengths of the medians of the triangle, the vertices of which are A(-5,4) , B(3,6) and C(1,-4)      Log On


   

Question 895318: Find the lengths of the medians of the triangle, the vertices of which are A(-5,4) , B(3,6) and C(1,-4)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
First find the midpoints of each segment.
x%5BBC%5D=%283%2B1%29%2F2=2
y%5BBC%5D=%286-4%29%2F2=1
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x%5BAC%5D=%28-5%2B1%29%2F2=-2
y%5BAC%5D=%284-4%29%2F2=0
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x%5BAB%5D=%28-5%2B3%29%2F2=-1
y%5BAB%5D=%284%2B6%29%2F2=5
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Now use the distance formula from the vertex to the midpoint for each vertex,
D%5E2%5BA%5D=%28-5-2%29%5E2%2B%284-1%29%5E2
D%5E2%5BA%5D=%28-7%29%5E2%2B%283%29%5E2
D%5E2%5BA%5D=49%2B9
D%5E2%5BA%5D=58
D%5BA%5D=sqrt%2858%29
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D%5E2%5BB%5D=%283-%28-2%29%29%5E2%2B%286-0%29%5E2
D%5E2%5BB%5D=%285%29%5E2%2B%286%29%5E2
D%5E2%5BB%5D=25%2B36
D%5E2%5BB%5D=61
D%5BB%5D=sqrt%2861%29
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D%5E2%5BC%5D=%281-%28-1%29%29%5E2%2B%28-4-5%29%5E2
D%5E2%5BC%5D=%282%29%5E2%2B%28-9%29%5E2
D%5E2%5BC%5D=4%2B81
D%5E2%5BC%5D=85
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