A farmer owns a triangular plot of land with coordinates A(2,3), B(8,3), and C(5,9). He wants to place a scarecrow at the centroid of the field. What are the coordinates of the centroid?
Show answer & explanation
Correct answer: A
Explanation
Given:
A(2,3), B(8,3), C(5,9)
By the formula:
Centricle of triangle = ((x₁ + x₂ + x₃) / 3 , (y₁ + y₂ + y₃) / 3)
x = (2 + 8 + 5) / 3
= 15 / 3
= 5
y = (3 + 3 + 9) / 3
= 15 / 3
= 5