Question

Triangle ABC has vertices A (3,-3) B (-7,9) C (-11,3). Determine the point of intersection of the medians, and state the coordinates

Answer 1

Answer:

(-5, 3)

Step-by-step explanation:

Let O(x, y) be the centroid of the triangle.

The median of a triangle is a line segment that joins the vertex of a triangle to the midpoint of the opposite side. There are three medians in a triangle; and the medians of a triangle intersect at a point called the centroid.

The centroid of a triangle is gotten from the average of the x coordinates and the y coordinates of all the three vertices.

For Triangle ABC has vertices A (3,-3) B (-7,9) C (-11,3) and centroid O(x, y). Hence:

$x=\frac{3 + (-7)+(-11)}{3}=-5\\\\y=\frac{-3 + 9 + 3}{3} =3$

The centroid is at (-5, 3)