Question

Determine the coordinates of the centroid of the triangle with vertices (1,2),(15,4), ans 5,12).

Answer 1

The coordinates of the centroid of the given triangle are (7, 6).

Step-by-step explanation:

The centroid of a triangle can be determined by finding the average of the x-coordinates and the average of the y-coordinates of the three vertices. In this case, the vertices are (1,2), (15,4), and (5,12). The average of the x-coordinates is (1 + 15 + 5) / 3 = 7, and the average of the y-coordinates is (2 + 4 + 12) / 3 = 6. Therefore, the coordinates of the centroid of the triangle are (7, 6).