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Question
The midpoints of three sides of a triangle are (1, 2), (2, -3) and (3, 4). Find the centroid of the triangle.
Solution
Let ABC be a triangle
The midpoint of whose sides AC, AB and BC are D, E and F respectively.
We know that the centroid of Δ DEF. Let G(x, y) be the centroid of Δ ABC and Δ DEF
Coordinates of centroid G are ,
G (x , y) = G `((1 + 3 + 2)/3 , (2 + 4 - 3)/3)`
= G (2 , 1)
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