Saturday, November 13, 2010

Someone Explain This For Me?

Hmmmm...... If each piece is the same size, and the overall triangles are the same size, where does the "hole" come from?

Image stolen from Dave Smock's blog!

7 Comments:

At Saturday, November 13, 2010 12:53:00 PM, Blogger D.W. Drang said...

I see what they did there, but I can't explain it mathematically...

 
At Saturday, November 13, 2010 1:53:00 PM, Anonymous USCitizen said...

Good one!

Answer here:

http://www.youtube.com/watch?v=aC70mt-17MQ

 
At Saturday, November 13, 2010 3:49:00 PM, Blogger Mr. Completely said...

The youtube vid. doesn't explain it correctly. There is another youtube video that does explain it correctly, but it's more fun if you figure it out yourself.

Mr. C.

 
At Saturday, November 13, 2010 7:24:00 PM, Blogger kc_oms said...

ok, enuff fun - 'splian it to me, please...
david

 
At Sunday, November 14, 2010 12:08:00 PM, Blogger danno said...

The four pieces taken together are NOT a triangle! It's really a four sided figure.
The diagonal line in the upper figure actually bows inward and outward in the lower. This difference in area is the open square.
Calculate the angles of the lower left corner of each triangle invtan(2/5) = 21.8 deg, invtan (3/8) = 20.55 deg

 
At Sunday, November 14, 2010 12:32:00 PM, Blogger Mr. Completely said...

BINGO! Danno nails it!!!!

Mr. C.

 
At Sunday, November 14, 2010 8:04:00 PM, Blogger kc_oms said...

thank you! the angles check out, as noted... good eye.

 

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