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Wrtie down the coordinates of centroid o...

Wrtie down the coordinates of centroid of the triangle whose vertices
(4,7),(8,4) and (7,11).

Text Solution

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Let `A(4,7),B(8,4)`and `C(7,11)`
Suppose the coordinates of point A are `(x_(1),y_(1))`, coordinates of point B are `(x_(2),y_(2))` are coordinates of point C are `(x_(3),y_(3))`
`:.x_(1)=4,y_(1)=7,x_(2)=8,y_(2)=4,x_(3)=7` and `y_(3)=11`.
Let `G(x,y)` be the centroid.
By centroid formula,
`x=(x_(1)+x_(2)+x_(3))/3, y=(y_(1)+y_(2)+y_(3))/3`
`:.x=(4+8+7)/3,:y=(7+4+11)/3`
`:.x=19/3, :.y=22/3`
The coordinates fo the centroid ar `(19/3, 22/3)`.
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