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 (x

_{1},y_{1}), (x_{2},y_{2}) and (x_{3},y_{3}) are[(x_{1 }+ x_{2}+ x_{3})/3, (y_{1 }+ y_{2}+ y_{3})/3](x

_{1},y_{1}) =(-1,3)(x

_{2},y_{2}) =(1,-1)(x

_{3},y_{3}) =(5,1)(x_{1 }+ x_{2}+ x_{3})/3 = (-1+1+5)/3 = 5/3(y

_{1 }+ y_{2}+ y_{3})/3 = (3-1+1)/3 = 3/3 = 1Hence the co-ordinates of centroid are (5/3, 1).