In triangle ABC, the coordinates of vertices A and B are (0,0) and (6,0), respectively. Vertex C lies somewhere on the line y =x, and the centroid of triangle ABC is (3,5).What are the coordinates of point C?
Show answer & explanation
Correct answer: D
Explanation
Centroid formula = (x1 +x2 x3) ÷ 3 , (y1 + y2 +y3) ÷ 3
(0 + 6 +a) ÷ 3 = 5
6 + a = 15
a = 9
c = (a,a) = (9 , 9)