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## Homework Equations

Area = A = 1/2bh

x = 1/A ∫ x(f(x))

y = 1/A ∫ 1/2((f(x)^2)

## The Attempt at a Solution

Area = 1/2(10)(17.3) = 86.5

f(x) = 17.3-1.73x or 17.3-173/100x

... this represents the equation for the line of the hypt. of the triangle, with its y intercept at 17.3 and its x intercept at 10, and a slope of 17.3/10

All interals from 0 to 10

x = 1/86.5 ∫x(17.3-1.73x) = 3.333333cm

y = 1/86.5 ∫1/2((17.3-1.73x)^2) = 5.7666667cm

I've done this problems like these tons of time in calc and on my homework for physics, using this same method... but according to the answers in the book I'm getting this question wrong

their answer says the x,y coordinates are (6.67cm, 11.5cm)

I'm not really sure what I'm doing wrong

Please point out any mistakes I may have made

and the right direction I should be heading in

Thank you !