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Puzzler of the Day!


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3 replies to this topic

#1 of 4 Jin E

Jin E

    Second Unit

  • 458 posts
  • Join Date: Nov 19 2000

Posted September 14 2001 - 08:50 AM

Figure this one out!

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-Jin
My Theater


-Jin
My Theater

#2 of 4 Matt Kasprzak

Matt Kasprzak

    Extra

  • 21 posts
  • Join Date: Apr 27 1999

Posted September 14 2001 - 08:57 AM

Hi Jin,

I've seen this one before, and I believe the solution is along the lines...

Spoiler:
... by virtue of the various building blocks that form the triangle, the edge that forms the hypotenuse of the right triange is not perfectly straight. Rather, it bows in on the top picture and bows out on the bottom, with area in the "missing square" being distributed along the entire length. In other words, the slopes of the green triangle and red triangle are slightly different.




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#3 of 4 BrianB

BrianB

    Producer

  • 5,211 posts
  • Join Date: Apr 29 2000

Posted September 14 2001 - 09:00 AM

You're exactly right, Mat.

Spoiler:
Both diagrams have exactly the same 'covered' area. The slope in picture one *looks* straight, but in reality there's a bend.


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#4 of 4 Jin E

Jin E

    Second Unit

  • 458 posts
  • Join Date: Nov 19 2000

Posted September 14 2001 - 09:08 AM

Ding Ding Ding! For the correct answer you get a hot cup of jack squat!!!

Spoiler:
You can calculate the clope of the two triangles to see that they are not the same. The green triangle has a rise over run of:

2/5 = 0.4

The Red Triangle has a rise over run of:

3/8 = .375

Since they do not have the same slope the triangle bows out on the bottom triangle and bows in on the top triangle making up for lost square!


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-Jin
My Theater


-Jin
My Theater