Problem #11
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?