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

Question 1086304: 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
Answer by ikleyn(52803) (Show Source): You can put this solution on YOUR website!
.

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.

On centroid of a triangle see the lesson
- The Centroid of a triangle is the Intersection point of its medians
in this site.

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