Question

The points of intersection of medians of triangle whose vertices are (-1,0), (5,-2) and (8,2) is _____

Answer 1

Answer:

• (4,0).

Step-by-step explanation:

Centroid:

• The points of intersection of three medians of the triangle.

Three vertices:

› A(-1,0)

› B(5,-2)

› C(8,2)

We have:

› x_1 = -1

› x_2 = 5

› x_3 = 8

› y_1 = 0

› y_2 = -2

› y_3 = 2

Centroid formula:

› G = ((x1 + x2 + x3)/3, (y1 + y2 + y3)/3).

› G = (-1 + 5 + 8)/3 , (0 + (-2) + 2)/3

› G = (12)/3 , (0)/3

› G = 4,0

Required coordinates of the centroid:

› (4,0)