Question

If the vertices of a triangle are (1, 3), (2, - 4) and (-3, 1). Then the co-ordinate of its centroid is:

Options

• (0, 0)

• (0, 1)

• (1, 0)

• (1, 1)

Answer 1

(0, 0)

Explanation:

The vertices of a triangle are (1, 3), (2, - 4) and (-3, 1).

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

Centroid formula of a given triangle

C = `((x_1 + x_2 + x_3)/3, (y_1 + y_2 + y_3)/3)` 

C = `((1 + 2 - 3)/3 , (3 - 4 + 1)/3)`

C = `(0/3 , 0/3)`

C = (0, 0).