The centroid of the triangle whose vertices are ( , ),3 7- ( , )8 6- and (5, 10)

The centroid of a triangle with vertices at points (x1, y1), (x2, y2), and (x3, y3) can be found using the following formulas:

Gx = (x1 + x2 + x3) / 3 Gy = (y1 + y2 + y3) / 3

Where Gx and Gy are the x and y coordinates of the centroid, respectively.

Given the vertices of the triangle are (3, 7), (-8, -6), and (5, 10), we can substitute these values into the formulas:

Gx = (3 - 8 + 5) / 3 = 0 Gy = (7 - 6 + 10) / 3 = 11/3 or approximately 3.67

So, the centroid of the triangle is at point (0, 3.67).