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: I hoping one of you smart peoply can help me. here's the problem. : You have a sheet of paper 25 units long by 6 wide. With the long side facing you, fold the upper right corner to touch the bottom, so that the crease is minimized. Write a function defining the crease, and find the minimum. Hint: This will take geometry or trig as well as calculus and creativity. : Here's what I did, but I'd like another opinion(s). : The crease is shortest when the upper right corner is folded all the way to the lower left corner. The a right triangle can be drawn with a height of 6, the base is unknown, and the crease is the hypotenuse. I think that triangle is similar to the triangle if you draw a diagnal across the paper before folding. Therefore : 6/25=side/6 the side is 36/25 Then I used the pythagorean theorem and said crease=sqrt(6^2 + (36/25)^2) : The crease comes out to about 6.17 units. I made a scale model, and that's pretty close. Do you think it's right? : I'll recheck the board, but an email would be appreciated. Thanks : Mark

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