Please check this out first:
http://www.milaadesign.com/triangle.html
The triangle area is 32.5 square cm however the individual items only
account to 32 sq cm. Initialy the image forms a perfect triangle
with same proportions however when rearanged the area in black around 0.5 sq cm
becomes obvious yet all the pices fit into the area of the triangle.
What happens?

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Request for Question Clarification by pinkfreud-ga on 23 Jun 2006 11:09 PDT

Please let me know if this provides a fully satisfactory answer:

http://www.scientificpsychic.com/mind/triangle1.html

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Clarification of Question by books19991-ga on 24 Jun 2006 09:12 PDT

Yes that answers it all.

I'm glad to have been able to help you with this. It's an interesting
problem, and one that has been around (in various forms) for a very
long time. I remember having encountered a similar problem in the
1960s. I believe it may have been in Martin Gardner's column in
"Scientific American." Online, the problem is sometimes called
"Simeon's Triangle."

For the record, here's an explanation:

The Mysterious Square Problem
http://www.scientificpsychic.com/mind/triangle1.html

This is the search strategy I used to find the link above. In case
you're interested in additional material, this Google search string
will take you to several sites which explain the problem:

Google Web Search: triangle "32.5 square"
://www.google.com/search?hl=en&q=triangle+%2232.5+square%22

Very best regards,
pinkfreud

Yup - it's simply the fact that there IS NO 13x5 triangle.  There is a
2x5 and a 3x8, but they are NOT similar triangles, and they do NOT fit
together to make a 13x5.

Wow, that one stumped me too.