Find the coordinates of the centroid of the triangle formed by the x-axis, the y-axis and the line 12x+9y=36. Show work, and please help!

Question

anonymous · Answer

SORRY
 i wish i could help...

tkhunny · Answer

Do you have a method in mind?  Calculus?  Geometry?

anonymous · Answer

Geometry.

tkhunny · Answer

Then you need medians.  Two will do, but it's always fun to draw the third, just to see that it hit's the same spot.

anonymous · Answer

I understand that, but the question that I offered if what the question is. If I need the medians then, how would I find them per say through the line that is given?

tkhunny · Answer

12x + 9y = 36 ==>  $\dfrac{x}{3} + \dfrac{y}{4} = 1$

x-intercept is (3,0)
y-intercept is (0,4)
The horizontal leg of your Right Triangle is length 3.  It's midpoint is $\left(\dfrac{3}{2},0\right)$

Where does that leave us?

anonymous · Answer

Finding the slope and then solving for y which would then lead to elimination to finding the coordinates of the centroid?

tkhunny · Answer

The centroid lies on the line containing (0,4) and (3/2,0), because this is one of the trangle's medians.

Your task it to find another median and see where the two intersect.

anonymous · Answer

Oh, I get it now. I got it from here. Thanks for your help. I appreciate it.