A strange property of the right triangle. In the Pythagorean theorem the sum of the areas of the squares of the two shorter sides is equal to area of the square of the longer side. But this equally applies to any other figure; not only to squares. In geometry the right triangle plays a central role. Many important results are derived from it.
But, what we commonly see is the right triangle displayed with squares around its sides.
However, those squares can be replaced by any other plane figure, as long as they substituted proportionately. The results obtained by making those proportional substitution are beautiful and at the same time motivational for further explorations in mathematics and geometry.
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