An Impossible Proof

I like proofs that claim to prove obviously false statements. They are the best puzzles.
This delightful series of operations demonstrates that all triangles are equilateral. Have fun finding the flaw!
This entry was posted on Thursday, March 26th, 2009 at 10:00 pm and is filed under math. You can follow any responses to this entry through the RSS 2.0 feed. You can leave a response, or trackback from your own site.
One Response to “An Impossible Proof”
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Matt Busche said on March 24, 2011 at 1:57 am:
Well, it’s been a long time since I’ve done geometry. It is claimed that right triangles ARM and and BQM are congruent because they have a side that’s the same length; but for two right triangles to be congruent I think you need two sides to have the same length, OR you need one side and an angle to be the same (in addition to the obvious right angles).
Matt