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Ken's Puzzle of the Week

Triangle and Rectangle Pairs

A triangle and rectangle have the same area and perimeter. All
sides are integers.

- Find such a pair with the smallest area? And the next smallest?
- Can you find such a pair with a right triangle?

Source: Original. For the second question, a good table of
Pythagorean
Triples is:
http://grail.cba.csuohio.edu/~somos/rtritab.txt.

Solution

Mail to Ken