The coordinates of the centroid of a triangle with vertices at (0, 0), (6, 0), a

₹0.0

Question: The coordinates of the centroid of a triangle with vertices at (0, 0), (6, 0), and (3, 6) are:

Options:

Correct Answer: (3, 3)

Solution:

Centroid = ((x1+x2+x3)/3, (y1+y2+y3)/3) = (9/3, 6/3) = (3, 2).

The coordinates of the centroid of a triangle with vertices at (0, 0), (6, 0), and (3, 6) are:

The coordinates of the centroid of a triangle with vertices at (0, 0), (6, 0), and (3, 6) are:

Step 1: Identify the coordinates of the triangle's vertices. They are (0, 0), (6, 0), and (3, 6).
Step 2: Label the coordinates: (x1, y1) = (0, 0), (x2, y2) = (6, 0), (x3, y3) = (3, 6).
Step 3: Use the formula for the centroid: Centroid = ((x1 + x2 + x3) / 3, (y1 + y2 + y3) / 3).
Step 4: Calculate the x-coordinate of the centroid: (0 + 6 + 3) / 3 = 9 / 3 = 3.
Step 5: Calculate the y-coordinate of the centroid: (0 + 0 + 6) / 3 = 6 / 3 = 2.
Step 6: Combine the x and y coordinates to find the centroid: (3, 2).

Centroid of a Triangle – The centroid is the point where the three medians of the triangle intersect, and its coordinates can be calculated as the average of the vertices' coordinates.