Question

Find the coordinates of the centroid of a triangle with vertices R(4, 8), S(9, -5), and T(2, -3).

a) (5, 0)
b) (5, 3)
c) (5, 2)
d) (6, 1)

Answer 1

To find the centroid of a triangle with vertices R(4, 8), S(9, -5), and T(2, -3), calculate the average of the x-coordinates and y-coordinates of the vertices. The centroid's coordinates are (5, 0).

Step-by-step explanation:

To find the centroid of a triangle, we need to take the average of the x-coordinates and the average of the y-coordinates of the three vertices.

For the x-coordinate: (4 + 9 + 2) / 3 = 5

For the y-coordinate: (8 - 5 - 3) / 3 = 0

Therefore, the coordinates of the centroid of the triangle are (5, 0).To find the coordinates of the centroid of a triangle with vertices R(4, 8), S(9, -5), and T(2, -3), you can use the formula for finding the centroid which is the average of the x-coordinates and the average of the y-coordinates of the triangle's vertices.

Steps to find the centroid:

Add the x-coordinates of the vertices and divide by 3: \((4 + 9 + 2) / 3 = 15 / 3 = 5\).

Add the y-coordinates of the vertices and divide by 3: \((8 + (-5) + (-3)) / 3 = 0 / 3 = 0\).

The coordinates of the centroid (x, y) are therefore \((5, 0)\), which corresponds to option a).