Re: Two Olympiad Problems
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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 area, when it is isosceles.
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That applies to each possible base, so any two sides are equal. Nothing more is needed.
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I don't think an average math student would get what you are saying with those few words.
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