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

₹0.0

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

Options:

Correct Answer: (3, 2)

Solution:

Centroid = ((0+6+3)/3, (0+0+6)/3) = (3, 2).

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

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

Correct Answer: (3, 2)

Step 1: Identify 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 3 (the number of vertices): 9 / 3 = 3.
Step 5: 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 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 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.