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If vertex A of triangle ABC is (3,5) an...

If vertex A of triangle ABC is `(3,5)` and centroid is `(-1,2)`, then find the midpoint of side BC.

Text Solution

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Let midpoint of side BC be D.
So, AD is median and centroid `G(-1,2)` lies on it such that `AG:GD=2:1` .
Thus,D divides AG externally in the ratio`3:1` .
`therefore D-=((3(-1)-1(3))/(3-1),(3(2)-1(5))/(3-1))-=(-3,(1)/(2))`
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Knowledge Check

  • The coordinates of the vertex A of the triangle ABC are (2,5), if the centroid of the triangle is at (-2, 1), then the coordinates of the mid-point of the side BC are-

    A
    `(4,1)`
    B
    `(-4, -1)`
    C
    `(-1, -4)`
    D
    `(-4, 1)`

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