Question

If two vertices of a triangle are (6,4), (2,6) and its centroid is (4, 6), then the third vertex is

• A. (4,8)
• B. (8,4)
• C. (6,4)
• D. None of these

Answer 1

The correct option is A

(4,8)

x = $\frac{x_1+x_2+x_3}{3}$, y = $\frac{y_1+y_2+y_3}{3}$

$\therefore$ 4 = $\frac{6+2+x_3}{3}$, 6 = $\frac{4+6+y_3}{3}$ $\Rightarrow$ $x_3$ = 4, $y_3$ = 8

$\therefore$ Third vertex is (4, 8).