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Forum: Science, Math, and Philosophy

11-25-2007, 06:59 PM

Replies: 18

Two Olympiad Problems

Views: 447

Posted By pzhon

Re: Two Olympiad Problems

[ QUOTE ]
I've never understood the resistance to using calculus on these types of problems, as if it is some kind of failure. Finding different roads to a solution is often very interesting, but...

Forum: Science, Math, and Philosophy

11-25-2007, 04:38 PM

Replies: 18

Two Olympiad Problems

Views: 447

Posted By pzhon

Re: Two Olympiad Problems

You don't have to use trigonometry to prove that the height is maximized when the triangle is isoceles. You can use the triangle inequality after adding a reflected copy of the triangle above. So,...

Forum: Science, Math, and Philosophy

11-25-2007, 04:35 AM

Replies: 18

Two Olympiad Problems

Views: 447

Posted By pzhon

Re: Two Olympiad Problems

[ QUOTE ]

Take a string six inches long and attach the ends. Thumbtack a potion of it on a horizontal line.Pull the rest up to make a triangle and notice that it is highest, and thus has greatest...

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