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Question
Find the centroid of ΔABC whose vertices are A(2,2) , B (-4,-4) and C (5,-8).
Solution
The given points are A(2,2) , B (-4,-4) and C (5,-8).
`Here , (x_1 = 2, y_1=2), (x_2=-4, y_2=-4) and (x_3=5 , y_3 =-8)`
Let G (x ,y) br the centroid of Δ ABC Then ,
`x= 1/3 (x_1+x_2+x_3)`
`=1/2(2-4+5)`
=1
`y=1/3(y_1+y_2+y_3)`
`=1/3 (2-4-8)`
`=(-10)/3`
Hence, the centroid of ΔABC is G `(1,(-10)/3).`
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