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bonanova

more difficult dissection: the square

Question

A square may be dissected into any number n of acute triangles, provided that n is 8 or greater.

Show such a dissection for n=8.

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post-13141-0-39875200-1371052320_thumb.p
Pretty sure they are all acute...the side ones are the only "iffy" ones...but I think with some tweaking they could be if they aren't already (sorry for my poor PAINT skills)...

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It use to be one of my favorites. I found it in Mathematical Snapshots,

a great book (devoted to recreational math) by Hugo Steinhaus.

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I've seen it also with allowable regions (if symmetry is present) for the endpoints of the short horizontal line.

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