"Half of the science is to ask question"
Ernest Friedman-Hill wrote:Damn, you're right (confirmed numerically; I can't see a tractable way to do the calculus.)
Ryan McGuire wrote:Now that I see the answer, I want to generalize the solution and say that min(x+y) happens when the two line segments make similar triangles. (2, 1.5, 2.5) and (6, 4.5, 7.5). Maybe it you shift the point where they meet one direction or there other, then one is getting longer faster than the other is shrinking. I'm not positive of that though. Now that I write that, it sounds pretty good.
Mike Simmons wrote: ...that moves freely along the bottom of the diagram.
"Half of the science is to ask question"
Rizvan Asgarov wrote:
Mike Simmons wrote: ...that moves freely along the bottom of the diagram.
Yes, it would have more suitable to say it previously...
Rizvan Asgarov wrote:But, there is an easy way to solve it by drawing symmetrical line... (So i can show you if you want)
Mike Simmons wrote: The question is, how do you realize it?
Mike Simmons wrote: Out of curiosity, what subject, and what course, were you teaching when you used this problem? What sort of mathematical background did the students have?
"Half of the science is to ask question"
Rizvan Asgarov wrote:Hi All,
This is one of the questions that I liked most of all in my teaching year. By the way, vast majority didn't able to solve it. So let's see who will be able to solve that?
Good luck,
Rizvan
There are three kinds of actuaries: those who can count, and those who can't.
Consider Paul's rocket mass heater. |