SOLUTION: the coordinates of the two vertices of a triangle are (6,-1) and (-3,7). find the coordinates of the third vertex so that the centroid of the triangle will be at the origin

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: the coordinates of the two vertices of a triangle are (6,-1) and (-3,7). find the coordinates of the third vertex so that the centroid of the triangle will be at the origin      Log On

Let the coordinates of the third vertex be (x,y).


Then the equations for x an y are

6 + (-3) + x = 0,

(-1) + 7 + y = 0.


Which gives x = -3,  y = -6.