The centroid of a triangle is the center of mass. If the coordinates of the vertices are A(2,3), B(4,5), and C(6,7), what is the centroid of the triangle?
Show answer & explanation
Correct answer: A
Explanation
(2,3), B(4,5), C(6,7)
According to the formula:
Centroid G = ((x₁ + x₂ + x₃)/3, (y₁ + y₂ + y₃)/3)
x = (2 + 4 + 6) / 3= 4
y = (3 + 5 + 7) / 3= 5
centroid = (4, 5)
Answer: Option 1