Find the coordinates of the centroid of the triangle with vertices (0, 0), (6, 0

Find the coordinates of the centroid of the triangle with vertices (0, 0), (6, 0), and (0, 8). (2022)

Find the coordinates of the centroid of the triangle with vertices (0, 0), (6, 0), and (0, 8). (2022)

Step 1: Identify the coordinates of the vertices of the triangle. The vertices are (0, 0), (6, 0), and (0, 8).
Step 2: Write down the x-coordinates of the vertices: 0, 6, and 0.
Step 3: Write down the y-coordinates of the vertices: 0, 0, and 8.
Step 4: Calculate the average of the x-coordinates: (0 + 6 + 0) / 3.
Step 5: Calculate the average of the y-coordinates: (0 + 0 + 8) / 3.
Step 6: Perform the calculations: (0 + 6 + 0) = 6, so 6 / 3 = 2 for the x-coordinate.
Step 7: Perform the calculations: (0 + 0 + 8) = 8, so 8 / 3 = 2.67 (approximately) for the y-coordinate.
Step 8: Combine the results to find the centroid coordinates: (2, 2.67).

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 vertices' coordinates.
Coordinate Geometry – Understanding how to work with coordinates in a Cartesian plane is essential for solving problems related to shapes and their properties.