M.L Aggarwal book Important Question of class 10 chapter Based on Section Formula for ICSE BOARD.
You have to find the co-ordinates of the centroid of a triangle whose vertices are ABC are given.
This is the Question Number 34, Exercise 11 of M.L Aggarwal.
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Find the co-ordinates of the centroid of a triangle whose vertices are A ( – 1, 3), B(1, – 1) and C (5, 1).
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Given vertices of the triangle are A(-1,3), B(1,-1) and C(5,1)
Co-ordinates of the centroid of a triangle, whose vertices are (x1,y1), (x2,y2) and (x3,y3) are
[(x1 + x2+ x3)/3, (y1 + y2+ y3)/3]
(x1,y1) = (-1,3)
(x2,y2) = (1,-1)
(x3,y3) = (5,1)
(x1 + x2+ x3)/3 = (-1+1+5)/3 = 5/3
(y1 + y2+ y3)/3 = (3-1+1)/3 = 3/3 = 1
Hence the co-ordinates of centroid are (5/3, 1).