View Full Version : The size is important?

08-03-2002, 01:59 PM
What a problem!
The two triangels have the same base and height but if I place the 4 inner figures from the top triangle as in the lower triangle, I get an extra blue square!
Who can be the first to solve the mystery?

As usual - a gold coin to the winner. :)



http://www.grannen.com/Calvin.gif http://www.grannen.com/Hobbes.gif and Grannen

08-03-2002, 02:10 PM
this is very weird.... lol man.. it really is impossible to see it! ( for me that is, i am a very bad maths knower.. )

08-03-2002, 03:34 PM
Originally posted by Grannen
The size is important?

it's not the size mate, it's how you use it. (just had to say that)

and the answer to you problem is that it's not really all that mathmatical, it's simple a matter of shape, if you put a jigsaw puzzle together wrong, you will always have spaces and parts that don't fit and yet they will all still take up the same amout of space. each triangle should have 32.5cm(little 2 for squared) but just because we have shapes which make up that space, doesn't mean that it will all fit into a triangle. the shapes still make up 32cm(2) in both diagrams.

08-03-2002, 05:28 PM
In more specific terms, your slopes are different on each triangle.

The first triangle is a straight line slope ... the second has a bulge in the hypotenuse that allows for one extra square. Put a straight edge to it and see.

08-03-2002, 08:16 PM
Neil gets one silver dime


raVen gets two silver dollars


The gold coin needs a little extra explanation!


http://www.grannen.com/Calvin.gif http://www.grannen.com/Hobbes.gif and Grannen

08-04-2002, 12:53 AM
It's how you use the shapes that determines the space or non space. Also each triangle has a slightly different slope angle

08-04-2002, 04:16 AM
In simple terms, the second image is not a triangle. (Even if we ignore the missing square in the consideration of identifying the geometric shape.)

Since the "hyptoneus" of the second image is now a convex line, it "takes up more space."

"I'm a firm believer in the philosophy of a ruling class. Especially because I rule."
  --Randal Graves, Clerks

08-04-2002, 04:54 AM
The black and yellow triangels are not uniform, i.e. if you place the black one inside the yellow then their hypotenueses are not parallell. That is the reason why the hypotenuese of the large triangels is not a straight line. It gives you a slightly concave curve on the top triangle and a convex curve on the lower one and the area differance is one blue square.
(Go five squares left and two down from the right top edge and compare the hypotenueses.)

I guess that Natty and Brief can share a coin. :)



http://www.grannen.com/Calvin.gif http://www.grannen.com/Hobbes.gif and Grannen

08-04-2002, 10:12 AM

*passes out*

I actually answered a mathamatic question right? I'm shocked I'm speechless :eek:

08-04-2002, 04:29 PM
*watches Natty and Brief fight for the coin*
*Walks up to both of them slowly, carefully...steals there sanity and runs*
* Runs back and grabs the coin from both of there hands*
*Runs again*

it's like a puzzle... the pieces fit only when placed right. the small triangle and the big triangle switched, causing a larger space open in the bottom for the other two, leaving one extra space....