SOLUTION: Two vertices of a triangle are (0,-8) and (6,0). If the medians intersect at (9, -3). Find the third vertex of the triangle.

Algebra ->  Coordinate-system -> SOLUTION: Two vertices of a triangle are (0,-8) and (6,0). If the medians intersect at (9, -3). Find the third vertex of the triangle.      Log On


   



Question 1082342: Two vertices of a triangle are (0,-8) and (6,0). If the medians intersect at (9, -3). Find the third vertex of the triangle.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The centroid of a triangle is calculated from the vertices using,
x%5Bc%5D=%28x%5B1%5D%2Bx%5B2%5D%2Bx%5B3%5D%29%2F3
y%5Bc%5D=%28y%5B1%5D%2By%5B2%5D%2By%5B3%5D%29%2F3
Substituting,
9=%280%2B6%2Bx%5B3%5D%29%2F3
x%5B3%5D%2B6=27
.
.
.
-3=%28-8%2B0%2By%5B3%5D%29%2F3
y%5B3%5D-8=-9
.
.
.
Solve for x%5B3%5D and y%5B3%5D.