Question

The centroid of a triangle is (2,7)and two of its vertices are

(4, 8) and (–2, 6) the third vertex is

• A. (0, 0)
• B. (4, 7)
• C. (7, 4)
• D. (7, 7)

Answer 1

Answer: (B)

(4, 7)

Answer 2

Let the third vertex (x, y)

$2 = \frac{x + 4 - 2}{3},7 = \frac{y + 8 + 6}{3}$, i.e. $x = 4,$ $y = 7$

Hence third vertex is (4, 7)