To find the centroid of a triangle, we can use the formula:
Centroid = (1/3)(Vertex A + Vertex B + Vertex C)
Using this formula, we can find the x-coordinate of the centroid:
x-coordinate = (1/3)(-5 + 1 + 1)
x-coordinate = (1/3)(-5 + 2)
x-coordinate = (1/3)(-3)
x-coordinate = -1
Now, let's find the y-coordinate of the centroid:
y-coordinate = (1/3)(1 + 7 - 5)
y-coordinate = (1/3)(1 + 7 - 5)
y-coordinate = (1/3)(3)
y-coordinate = 1
Therefore, the point of the centroid is (-1, 1).
Prove that when the three medians of the triangle are drawn, they meet at a single point A(-5,1) B(1,7) C(1,-5). What is the point of the centroid? (1 point) Responses
(−3,1)
(−1/3,1/3)
(−1/2,1/2)
(−1,1)
1 answer