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Forum: Science, Math, and Philosophy

11-24-2007, 02:49 PM

Replies: 18

Two Olympiad Problems

Views: 354

Posted By jay_shark

Re: Two Olympiad Problems

Good answer Tom .

Here is another solution :

Fix two points A and B and a variable point C on the line parallel to the line AB . Clearly the area of ABC is fixed but we wish to minimize the...

Forum: Science, Math, and Philosophy

11-22-2007, 10:35 PM

Replies: 18

Two Olympiad Problems

Views: 354

Posted By jay_shark

Re: Two Olympiad Problems

Good answer Blah , and thx for the problem BigPooch .

For question 2 , I originally solved it using Herons Formula , but quickly realized that it wasn't even necessary .

Can you think of...

Forum: Science, Math, and Philosophy

11-22-2007, 04:50 PM

Replies: 18

Two Olympiad Problems

Views: 354

Posted By jay_shark

Two Olympiad Problems

1) Show that 1! + 2! + 3! + ...+ n! is not the square of any integer for n>3 .

2)Prove that of all the triangles with a given area K , the equilateral triangle has the shortest perimeter .
...

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