If the centroid of a triangle is (5,5) and two vertices are (2,3) and (4,7), the third vertex is:
Show answer & explanation
Correct answer: B
Explanation
Centroid = (5, 5), Two vertices = (2, 3), (4, 7)
According to the formula:
Centroid = ((x₁ + x₂ + x₃)/3, (y₁ + y₂ + y₃)/3)
5 = (2 + 4 + x₃)/3
⇒ 15 = 6 + x₃
⇒ x₃ = 9
5 = (3 + 7 + y₃)/3
⇒ 15 = 10 + y₃
⇒ y₃ = 5
(9, 5)