Determine the coordinates of the centroid of the triangle with vertices at (0, 0

Determine the coordinates of the centroid of the triangle with vertices at (0, 0), (6, 0), and (3, 6).

Determine the coordinates of the centroid of the triangle with vertices at (0, 0), (6, 0), and (3, 6).

Step 1: Identify the coordinates of the vertices of the triangle. The vertices are (0, 0), (6, 0), and (3, 6).
Step 2: Write down the x-coordinates of the vertices: 0, 6, and 3.
Step 3: Add the x-coordinates together: 0 + 6 + 3 = 9.
Step 4: Divide the sum of the x-coordinates by the number of vertices (which is 3): 9 / 3 = 3.
Step 5: Now, write down the y-coordinates of the vertices: 0, 0, and 6.
Step 6: Add the y-coordinates together: 0 + 0 + 6 = 6.
Step 7: Divide the sum of the y-coordinates by the number of vertices (which is 3): 6 / 3 = 2.
Step 8: Combine the results from Step 4 and Step 7 to get the coordinates of the centroid: (3, 2).

Centroid of a Triangle – The centroid (or geometric center) of a triangle is the point where the three medians intersect, and its coordinates can be calculated as the average of the x-coordinates and the average of the y-coordinates of the vertices.