SOLUTION: In the plan for a table, the triangular top has coordinates (0,10), (4,0), and (8,14). The tabletop will rest on a single support placed beneath it. Where should the support e atta

Algebra ->  Formulas -> SOLUTION: In the plan for a table, the triangular top has coordinates (0,10), (4,0), and (8,14). The tabletop will rest on a single support placed beneath it. Where should the support e atta      Log On


   

Question 174515: In the plan for a table, the triangular top has coordinates (0,10), (4,0), and (8,14). The tabletop will rest on a single support placed beneath it. Where should the support e attached so that the table is balanced?
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!
(0,10), (4,0), and (8,14).
Okay, we need to find the centroid of the triangular top where you can put the support to a point where it will be stable or balance.
We find the "x" & "y" coordinates of the cemtroid via--->, working eqn
.
x-coordinates:
T%5Bc%5D=%280%2B4%2B8%29%2F3=12%2F3=highlight%284=x%29
y-coordinates:
T%5Bc%5D=%2810%2B0%2B14%29%2F3=24%2F3=highlight%288=y%29
So, you put the post on point (4,8), as you see below:

With the Centroid where to put the support:


Thank you,
Jojo