Someone please explain this to me

[SlitheryDee]

I searched but I guess it's still a possible repost. Anyway we have 2 figures composed of the same shapes in different configurations, only one figure has a greater surface area. To quote the page, how can this be?

linky

 

[NikPreviousAcct]

Hypotenuses.

/thread

 

[SlitheryDee]

Originally posted by: Nik
Hypotenuses.

/thread

So a hypotenuse is the long side of a right triangle. I'm still not seeing how they can be used to create an extra "unit" of area between 2 otherwise solid figures. Since they both fit in the grid and are composed of shapes that have the same dimensions, shouldn't they have the same area?

<----definitely not a math major

 

[astrocase]

Google is your friend.

http://mathforum.org/library/drmath/view/55119.html

 

[astrocase]

http://www.ics.uci.edu/~eppstein/junkyard/fake-dissect.html

 

[astrocase]

This will really help

http://www.cut-the-knot.org/Curriculum/Geometry/FibonacciBamboozlement.shtml

 

[SlitheryDee]

Originally posted by: astrocase
This will really help

http://www.cut-the-knot.org/Curriculum/Geometry/FibonacciBamboozlement.shtml

ah cool. thx