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.]

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