Question

Find the centroid of a triangle whose vertices are the points (6, -1), (8, 3), and (10, -5).

A) (8, -1)
B) (8, -1)
C) (8, 1)
D) (7, -1)

Answer 1

The centroid of the triangle with vertices at (6, -1), (8, 3), and (10, -5) is at the point (8, -1). correct option is A) (8, -1)

Step-by-step explanation:

To find the centroid of a triangle with given vertices, we use the formula that averages the x-coordinates and y-coordinates of the vertices. For the triangle with vertices at (6, -1), (8, 3), and (10, -5), the centroid (x, y) can be found as follows:

• x-coordinate of the centroid = (x1 + x2 + x3) / 3 = (6 + 8 + 10) / 3 = 8
• y-coordinate of the centroid = (y1 + y2 + y3) / 3 = (-1 + 3 - 5) / 3 = -1

Therefore, the centroid of the triangle is at the point (8, -1).