Find the coordinates of the centroid of the triangle with vertices at (1, 2), (3
Practice Questions
Q1
Find the coordinates of the centroid of the triangle with vertices at (1, 2), (3, 4), and (5, 6).
(3, 4)
(2, 3)
(4, 5)
(5, 6)
Questions & Step-by-Step Solutions
Find the coordinates of the centroid of the triangle with vertices at (1, 2), (3, 4), and (5, 6).
Step 1: Identify the coordinates of the vertices of the triangle. The vertices are (1, 2), (3, 4), and (5, 6).
Step 2: To find the x-coordinate of the centroid, add the x-coordinates of the vertices: 1 + 3 + 5.
Step 3: Calculate the sum of the x-coordinates: 1 + 3 + 5 = 9.
Step 4: Divide the sum of the x-coordinates by 3 (the number of vertices): 9 / 3 = 3.
Step 5: To find the y-coordinate of the centroid, add the y-coordinates of the vertices: 2 + 4 + 6.
Step 6: Calculate the sum of the y-coordinates: 2 + 4 + 6 = 12.
Step 7: Divide the sum of the y-coordinates by 3: 12 / 3 = 4.
Step 8: Combine the x-coordinate and y-coordinate to get the coordinates of the centroid: (3, 4).
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 x-coordinates and the average of the y-coordinates of the vertices.
