Question

If the centroid of the triangle two of whose vertices are (2,1) and (1, 2) is (0, 0) , then the third
vertex is​

Answer 1

Answer:

Centroid Cx = (x₁ + x₂ + x₃)/3

Cy = (y₁ + y₂ + y₃)/3

Cx = 2 Cy = 1 ( given )

=> 2 = (1+0+x₃)/3

=> 6 = 1 + x₃ [ on crore multiplication ]

=> 6 - 1 = x₃

=> x₃ = 5

1 = (2+0+y₃)/3

=> 3 = 2 + y₃

=> 3 - 2 = y₃

=> y₃ = 1

therefore coordinates of the third vertex is (5, 1)