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## Homework Statement

Find the coordinates of the centroid G of the triangular region with vertices (0,0),(a,0),(b,c).

## Homework Equations

for the centroid x = (1 / area) * double integral ( x dA)

y = (1 / area) * double integral ( y dA)

## The Attempt at a Solution

Ok, what i did so far for this was try to get an equation for the lines on the left and right of the triangle. i got x = by/c and x = -y(a-b)/c + a (both were found using point slope)

Then I integrated with respects to x first and used the above equations as my limits of integration, and then integrated with respects to y and used 0 and c as limits of integration.

I want to know if that sounds like the right method of going into this problem. I get a really long mess of a's and b's for x and c canceled out. It feels like I'm missing something.

The whole point of the assignment was to try to prove that the three medians of a triangle intersect the centroid, but if I'm already going in the right direction, I'm sure I can figure the rest out.