92.48 The upside-down Pythagorean theorem

@article{Richinick20089248TU,
  title={92.48 The upside-down Pythagorean theorem},
  author={Jennifer Richinick},
  journal={The Mathematical Gazette},
  year={2008},
  volume={92},
  pages={313 - 316}
}
Introduction A triple of positive integers (a, b, c) is a Pythagorean triple if, and only if, a + b = c. Positive integers a and b will also be the lengths of the sides of a right-angled triangle and integer c will be the length of the hypotenuse. Let d equal the length of the segment that is perpendicular to the hypotenuse and that passes through the vertex of the right angle. It can then be proved that a~ + b' = d . We shall call the triple (a, b, d) an upside-down Pythagorean triple. The… Expand
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