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

Answer: (A)

(4,8)

Answer 2

$x = \frac { x _ { 1 } + x _ { 2 } + x _ { 3 } } { 3 } , y = \frac { y _ { 1 } + y _ { 2 } + y _ { 3 } } { 3 }$

$\therefore 4 = \frac { 6 + 2 + x _ { 3 } } { 3 } , 6 = \frac { 4 + 6 + y _ { 3 } } { 3 }$

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