find the coordinates of the centroid of a triangular metal part with vertices at A(12,18) B(18,6), and C(3,12
Find the equations of two of the medians.
Then find the intersection of these two medians.
To find the coordinates of the centroid of a triangle, you need to calculate the average of the x-coordinates and the average of the y-coordinates of its vertices.
Let's calculate the average of the x-coordinates first.
x-coordinate of centroid = (x-coordinate of A + x-coordinate of B + x-coordinate of C) / 3
= (12 + 18 + 3) / 3
= 33 / 3
= 11
Now, let's calculate the average of the y-coordinates.
y-coordinate of centroid = (y-coordinate of A + y-coordinate of B + y-coordinate of C) / 3
= (18 + 6 + 12) / 3
= 36 / 3
= 12
Therefore, the coordinates of the centroid of the triangle with vertices A(12,18), B(18,6), and C(3,12) are (11, 12).