Sum
Find the centroid of the triangle whose vertices are (2, −4), (−3, −7) and (7, 2)
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Solution
Let the vertices of a triangle be A(2, −4), B(−3, −7) and C(7, 2)
Centroid of a triangle (G) = `((x_1 + x_2 + x_3)/3, (y_1 + y_2 + y_3)/3)`
= `((2 - 3 + 7)/3, (-4 - 7 + 2)/3)`
= `(6/3, (-9)/3)`
= (2, −3)
Centroid is (2, −3)
Concept: The Coordinates of the Centroid
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