Question

Two vertices of a triangle are (5,4) and (-2,4). If its centroid is (5,6) then the third vertex has the coordinates

• A. (12,10)
• B. (10,12)
• C. (-10, 12)
• D. (12, -10)

Answer 1

The correct option is A

(12,10)

Let the third vertex be (x, y), then

5 = $\frac{x+5-2}{3}$ $\Rightarrow$ x = 12 and 6 = $\frac{y+4+4}{3}$ $\Rightarrow$ y = 10.