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Find the lengths of the medians of a ...

Find the lengths of the medians of a ` A B C` whose vertices are `A(7,\ -3),\ \ B(5,\ 3)` and `C(3,\ -1)` .

Text Solution

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Co-ordinants of mid-point D of BC
`" "-=((3+5)/(2),(-1+3)/(2))-=(4,1)`
Co-ordinates of mid-point E of AC
`" "-=((3+7)/(2), (-1-3)/(2))-=(5,-2)`

`therefore" "AD=sqrt((7-4)^(2)+(-3-1)^(2))=sqrt(9+16)=sqrt(25)=5` units
and `" "BE=sqrt((5-5)^(2)+(3+2)^(2))=sqrt(0+25)=sqrt(25)=5` units
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