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Question
Find the coordinates of centroid of a triangle whose vertices are (4, 7), (8, 4) and (7, 11)
Solution
Let A(x1, y1) = A(4, 7), B(x2, y2) = B(8, 4), C(x3, y3) = C(7, 11)
∴ By centroid formula,
x = `(x_1 + x_2 + x_3)/3`
= `(4 + 8 + 7)/3`
= `19/3`
y = `(y_1 + y_2 + y_3)/3`
= `(7 + 4 + 11)/3`
= `22/3`
∴ The co-ordinates of the centroid are `(19/3, 22/3)`
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Solution: Suppose A(x1, y1) and B(x2, y2) and C(x3, y3)
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