Question

The coordinates of the vertices of ΔABC are respectively (–4, –2), (6, 2), and (4, 6). The centroid G of ΔABC is ______.

पर्याय

• (2, 2)

• (2, 3)

• (3, 3)

• (0, –1)

Answer 1

The coordinates of the vertices of ΔABC are respectively (–4, –2), (6, 2), and (4, 6). The centroid G of ΔABC is (2, 2).

Explanation:

Coordinates of the centroid G of ΔABC

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

= `((-4 + 6 + 4)/3, (-2 + 2 + 6)/3)`

= (2, 2)