SOLUTION: 3. Triangle PQR has vertices P(1,4), Q(-5,2) and R(-1,-4). The coordinates of the centroid of the triangle. That is, find where the three medians of the triangles intersect.

Algebra ->  Triangles -> SOLUTION: 3. Triangle PQR has vertices P(1,4), Q(-5,2) and R(-1,-4). The coordinates of the centroid of the triangle. That is, find where the three medians of the triangles intersect.       Log On


   

Question 1173230: 3. Triangle PQR has vertices P(1,4), Q(-5,2) and R(-1,-4). The coordinates of the centroid of the triangle. That is, find where the three medians of the triangles intersect.
Answer by ikleyn(52797) About Me  (Show Source):
You can put this solution on YOUR website!
.

Take the average of x-coordinates of the three given points

    x%5Bc%5D = %281%2B%28-5%29%2B%28-1%29%29%2F3 = -1 2%2F3 = -1.667  (rounded).



Take the average of y-coordinates of the three given points

    y%5Bc%5D = %284%2B2%2B%28-4%29%29%2F3 = 2%2F3 = 0.667   (rounded).



Then the coordinates of the centroid are  

    x%5Bc%5D = -1 2%2F3 = -1.667,   y%5Bc%5D = 2%2F3 = 0.667.



In other words, the centroid is the point  

    (x%5Bc%5D,y%5Bc%5D) = (-1.667,0.667).