The coordinates of the centroid of the triangle with the vertices at S(-2, 3), T(6, 7), and U(4, 1) is G(8/3, 11/3).
What is the centroid of a triangle?
The center of the thing is represented by its centroid. The centroid of a triangle is the location where the triangle's three medians connect. The junction of all three medians is another definition for it. The median is a line that connects the middle of a side to the triangle's opposite vertex. The median is divided by the centroid of the triangle in a ratio of 2:1.
How are the coordinates of a centroid found?
By averaging the x and y coordinates of each of the three vertices, we can get the centroid of the triangle. Therefore, the centroid formula may be written as G(x, y) = ((x1 + x2 + x3)/3, (y1 + y2 + y3)/3) in mathematics.
How to solve the question?
In the question, we are asked to find the coordinates of the centroid of the triangle with vertices at S(-2, 3), T(6, 7), and U(4, 1).
We know that the centroid is found using the centroid formula which is written as G(x, y) = ((x1 + x2 + x3)/3, (y1 + y2 + y3)/3).
Thus, the centroid G = ((-2 + 6 + 4)/3 (3 + 7 + 1)/3),
or, the centroid G = (8/3, 11/3).
Thus, the coordinates of the centroid of the triangle with the vertices at S(-2, 3), T(6, 7), and U(4, 1) is G(8/3, 11/3).
Learn more about the coordinates of the centroid of a triangle at
https://brainly.com/question/7644338
#SPJ2
