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Find the equation of the medians of the ...

Find the equation of the medians of the triangle ABC whose vertices are `A(2,5)B(-4,9)a n d\ C(-2,-1)dot`

Text Solution

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Since AD is the median, D will be the mid-point of BC.

Let corrdinates of D be (x,y).
`thereforex=(-4+(-2))/(2)=3`
`y=(9+(-1))/(2)=4`
Now the media passes through points `A(2,5)and D(-3,4)`
`therefore` The required equation is
`y-5=((4-5)/(-3-2))(x-2)`
`impliesx-5y+23=0`
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