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Question
If the vertices of a triangle are (1, 3), (2, - 4) and (-3, 1). Then the co-ordinate of its centroid is:
Options
(0, 0)
(0, 1)
(1, 0)
(1, 1)
Solution
(0, 0)
Explanation:
The vertices of a triangle are (1, 3), (2, - 4) and (-3, 1).
x1 = 1, x2 = 2, x3 = -3, y1 = 3, y2 = -4, y3 = 1.
Centroid formula of a given triangle
C = `((x_1 + x_2 + x_3)/3, (y_1 + y_2 + y_3)/3)`
C = `((1 + 2 - 3)/3 , (3 - 4 + 1)/3)`
C = `(0/3 , 0/3)`
C = (0, 0).
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