Question

Find the centroid of the triangle with vertices at X(-1, 5), Y(3, 12), and Z(1, -5).

Answer 1

The centroid of the triangle with the given vertices is at the point (1, 4).

Step-by-step explanation:

The centroid of a triangle is the point where the three medians intersect. To find the centroid, we need to calculate the average of the x-coordinates and the average of the y-coordinates of the vertices.

Given the vertices X(-1, 5), Y(3, 12), and Z(1, -5),

1. The average of the x-coordinates = (-1 + 3 + 1)/3 = 1
2. The average of the y-coordinates = (5 + 12 - 5)/3 = 4

Therefore, the centroid of the triangle is at the point (1, 4).

Learn more about Finding the centroid of a triangle