BEER/WINE MATHEMATICS

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sapphire
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Post by sapphire » Fri, 15 Jul 2005 12:45 pm

SE, I found the answer, but it went over my head, lol. was never good in this anyways.
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Post by Guest » Fri, 15 Jul 2005 3:00 pm

Ooh i liked the first one. But i didn't get the diagram. Was it just because they're solids and the way they're shaped?

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Post by stefania » Fri, 15 Jul 2005 3:02 pm

The guest above is me by the way.

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Post by ksl » Sun, 17 Jul 2005 4:02 am

Strong Eagle wrote:OK... one more.

Image
You gain a hole when you move the two L shaped rectangles, from a 3 square position to a two square position, So the red triangle can fit above and the green will slot in you actually reduce the height of the rectangle by one square, I guess!

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Post by sindbad » Sun, 17 Jul 2005 11:05 am

Both top and dow diagrams are not exact triangles because the angle of the green triangle is larger than that of the red.

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Post by sapphire » Sun, 17 Jul 2005 11:33 am

since SE wont reply :P , here's the answer, although i think sindbad got it.

The area of a right triangle is computed by multiplying the base times the height and dividing by two. The pieces of the puzzle have an area of 32 square units. Although they can be assembled to form what appears to be a 13×5 right triangle, they actually form quadrilaterals that are slightly smaller or slightly bigger than a 13×5 right triangle. The long side of the these triangles, i.e, the hypotenuse, is not a straight line.

The top figure has an area of 32 square units. The bottom figure, including the empty square, has an area of 33 square units. A real 13×5 right triangle would have an area of 32.5 square units. The distortion is difficult to see because one square of the picture is approximately 3% of the area.

The distortion can be seen more clearly when the empty square constitutes a larger percentage of the area, as in the figure below where 1 square represents 13% of the area.
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Post by Strong Eagle » Sun, 17 Jul 2005 2:52 pm

5 points for sapphire! It's not really a triangle. Check the slopes of the two small triangles... the slope is not the same. You get a more noticeable "hump" in the second picture.

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Post by sapphire » Sun, 17 Jul 2005 3:40 pm

Ha ha, wish I could take credit for this SE, just copy pasted the answer. Although, I was aware of the difference the slopes of the triangle cause, hence the little gap.
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Post by sindbad » Sun, 17 Jul 2005 6:31 pm

How about me? How many points do I get?:roll:

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Post by sindbad » Sun, 17 Jul 2005 6:35 pm

Sapphire, beware of smoking :wink:
Last edited by sindbad on Mon, 18 Jul 2005 1:48 pm, edited 1 time in total.

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Post by stefania » Mon, 18 Jul 2005 9:34 am

Ohhhhhhhh.....:idea:

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