where is missing block [puzzle] [IMG]http://i37.*************3509f14.jpg[/IMG]
This is a geometrical puzzle. Can you tell where is the missing block?
08-15-08 at 09:00 PM
| #1 | ||
| Elder   Join Date: Feb 2008 Posts: 4,474 |
where is missing block [IMG]http://i37.*************3509f14.jpg[/IMG] This is a geometrical puzzle. Can you tell where is the missing block? | ||
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Discuss where is missing block [puzzle] at the Deep Thoughts & Laughters forum within tehPARADOX.COM Online Sharing Community.
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08-15-08 at 09:14 PM
| #2 | ||
| Elite  Join Date: Dec 2007 Location: In the shadows of my time!! :) Posts: 1,514 |
[spoiler]  1. For both of the pictures to be exactly the same, they must both have the same area AND each of the pictures must have same area as the area of the "PERFECT" triangle (oh no - shades of dreaded Math come to mind!) ... Here are the calculated areas 4U: Hint: the area of a triangle = 1/2bh where b is the base and h is the height 1A. Before looking at either picture, calculate what the area of this picture would be if it was a PERFECT triangle (i.e. 13 X 5 squares) Area = 1/2bh = 1/2(13)(5) = 65/2 = 32 1/2 1B. Area of the top picture Area = 1 + 2 + 3 + 4 = 1/2(5)(2) + 1/2(8)(3) + 7 + 8 = 5 + 12 + 7 + 8 = 32 1C. Area of the lower picture Area = 1 + 2 + 3 + 4 + 5 = 1/2(5)(2) + 1/2(8)(3) + 7 + 8 + 1 = 5 + 12 + 7 + 8 + 1 = 33 Neither of the two pictures form a perfect triangle, but both of them look very close to the outline of a perfect triangle! 2. Compare the slopes of the triangles and you realize that the hypotenuse of the overall triangle is not a straight line ... Hint: the slope of a line = rise / run (the slope of a horizontal line is zero) 2A. Slope of the PERFECT triangle Slope = rise / run = 5 / 13 = 0.384615 2B. Slope of Triangle 1 (in both pictures) Slope = rise / run = 2 / 5 = 0.4 2C. Slope of Triangle 2 (in both pictures) Slope = rise / run = 3 / 8 = 0.375 Prove it by blowing up the images and running a ruler along the hypotenuse of both triangles - both are not a perfect line (but close!) Conclusion: the 2 objects are NOT triangles (even though they at first appear so!) and they have different areas... [/spoiler] wahahahahahahahahahaha! Last edited by teh requestician; 08-15-08 at 09:33 PM. | ||
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08-16-08 at 08:14 PM
| #3 | ||
| Guru  Join Date: Oct 2007 Location: Never Never Land Posts: 5,750 |
I like this one. Couldn't figure it out until I  and beamed in on it. Really good! | ||
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08-22-08 at 09:35 PM
| #4 | ||
| Newcomer  Join Date: Dec 2007 Posts: 4 |
yes very clever.............now to appear superior to my better half..............
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08-25-08 at 01:56 AM
| #5 | ||
| Apprentice  Join Date: Jun 2008 Posts: 478 |
teh requestician is teh master mathematician
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08-25-08 at 05:55 AM
| #6 | ||
| Guru Join Date: Oct 2007 Location: Never Never Land Posts: 5,750 |
teh requestician must be a professor of math at MIT! DUDE!  | ||
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08-25-08 at 06:36 AM
| #7 | ||
| Legendary   Join Date: Oct 2007 Location: Australia (GMT+10) Posts: 12,353 |
Simple math until you light up. | ||
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08-25-08 at 06:36 AM
| #8 | ||
| Elder Join Date: Feb 2008 Posts: 4,474 |
Quote: Originally Posted by tomandsusan  teh requestician must be a professor of math at MIT! DUDE! looks like so.. | ||
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