*Problem #11*

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This year is the centenary of the death of the Reverend Charles L. Dodgson
who wrote under the pen name, *Lewis Carroll*. He was the author of
"Alice in Wonderland" and "Through the Looking Glass" (which includes the
nonsense poem, "Jabberwocky"), and also created a large number of
mathematical games and puzzles.

In his book "Pillow Problems", he asks for three right triangles all of
whose sides are integers and all having the same area. [To see this
problem and others by Carroll (and their solutions) go
here.]

- Can you find four such triangles?
- Five?