Q. 213.6( 9 Votes )

# Find the centroid

Answer : First we need to calculate the coordinates of median

For coordinates of median AD segment BC will be taken

X = (m1x2 + m2x1)/ m1 + m2

= (1 × 8 + 1x 5)/1 + 1

= (8 + 5) /2

= 13/2

Y = (m1y2 + m2y1)/ m1 + m2

= (1x 2 + 1x (– 2))/2

= (0)/2

= 0 / 2 = 0

D(13/2,0)

The centroid of the triangle divides the median in the ratio 2:1

By section formula,

X = (m1x2 + m2x1)/ m1 + m2

= (2 × 13/2 + 1x (– 1))/2 + 1

= (13 – 1) /3

= 12/3 = 4

Y = (m1y2 + m2y1)/ m1 + m2

= (2x 0 + 1x 0)/2 + 1

= 0/3

= 0

G coordinate is (4, 0)

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