A triangle has vertices at A(0,0), B(4,0), and C(2,6). What is the centroid of the triangle?
Show answer & explanation
Correct answer: A
Explanation
Given:
A(0,0), B(4,0), C(2,6)
According to the formula:
Centroid = ((x₁ + x₂ + x₃)/3 , (y₁ + y₂ + y₃)/3)
x = (0 + 4 + 2) / 3
= 6 / 3
= 2
y = (0 + 0 + 6) / 3
= 6 / 3
= 2
(2, 2)