Consider all of the triangles formed by lines passing through the point (8/9,3) and both the x and y axes. Find the dimensions of the triangle with the longest hypotenuse.
Not looking for an answer, but just a nudge in the right direction. I know I have to find two equations, solve for one variable, and differentiate. The problem is, other than a^2+b^2=C^2, I can't seem to think of anything else that would help.
I have a ton of these, and they're all different, so expect a few more questions from me. thanks for all the help - I'm jealous of all this comes easy to.