Question

48.
is the centroid of the triangle ABC whose vertices are given as:
A(5, -1), B(-4, 3), C(-1, -2)

Answer 1

Step-by-step explanation:

Given points are

A(5,-1), B(-4,3), C(-1,-2)

let,

x1= 5, x2= -4, x3= -1; y1= -1, y2= 3, y3= -2,

Now,

By using centroid formula,

W.K.T,

______________________________

Centroid = [(x1+x2+x3)/3, (y1+y2+y3)/3]

______________________________

= [(5+ (-4)+ (-1))/3, ((-1)+ 3 +(-2))/3]

= [(5-4-1)/3, (-1+3-2)/3]

= [(0)/3, (0)/3]

= (0,0)

:. The centroid of the triangle ABC is (0,0).