22 Jan
2008
22 Jan
'08
9:30 a.m.
Determine which shape(s) of triangles, if any, can be dissected into 3 congruent triangular pieces.
Then do the same for 3 *similar* triangles.
Huh? You can cut any right triangle into 2 similar triangles, then do this again to one of these, resulting in the original triangle cut into 3 similar ones.
Yes indeed, but is this the only way to do it? (The proof I came up with for the "congruent" case gave the answer to the "similar" as an intermediate step, which is why I mentioned it.) --Michael Kleber -- It is very dark and after 2000. If you continue you are likely to be eaten by a bleen.