Question

Find the centroid of ΔABC whose vertices are A(2, 2), B(–4, –4) and C(5, –8).

Answer 1

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).`