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Question
The coordinates of the vertices of a triangle ABC are A (–7, 6), B(2, –2) and C(8, 5). Find coordinates of its centroid.
Solution: Suppose A(x1, y1) and B(x2, y2) and C(x3, y3)
x1 = –7, y1 = 6 and x2 = 2, y2 = –2 and x3 = 8, y3 = 5
Using Centroid formula
∴ Coordinates of the centroid of a traingle
ABC = `((x_1 + x_2 + x_3)/3, (y_1 + y_2 + y_3)/3)`
= `(square/3, square/3)`
∴ Coordinates of the centroid of a triangle ABC = `(3/3, square)`
∴ Coordinates of the centroid of a triangle ABC = `(1 , square)`
Solution
Suppose A(x1, y1) and B(x2, y2) and C(x3, y3)
x1 = –7, y1 = 6 and x2 = 2, y2 = –2 and x3 = 8, y3 = 5
Using Centroid formula
∴ Coordinates of the centroid of a traingle
ABC = `((x_1 + x_2 + x_3)/3, (y_1 + y_2 + y_3)/3)`
= `((-7 + 2 + 8)/3, (6 - 2 + 5)/3)`
∴ Coordinates of the centroid of a triangle ABC = `(3/3, 9/3)`
∴ Coordinates of the centroid of a triangle ABC = (1 , 3)
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