Question

Find the centroid of the ΔABC whose vertices are A(–2, 0), B(7, –3) and C(6, 2).

Options

• `(11/3, 1/3)`

• `(11/3, (-1)/3)`

• `((-11)/3, (-1)/3)`

• `((-11)/3, 1/3)`

Answer 1

`underline((11/3, (-1)/3)`

Explanation:

Given points are A(–2, 0), B(7, –3) and C(6, 2)

Coordinates of centroid = `((-2 + 7 + 6)/3, (0 - 3 + 2)/3) = (11/3, (-1)/3)`

As a result, the centroid coordinates are `(11/3, (-1)/3)`.