anemone
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Show that if $a,\,b$ and $c$ are the lengths of the sides of a right triangle with hypotenuse $c$, then
$$\frac{(c − a)(c − b)}{(c + a)(c + b)}\le 17 − 12\sqrt{2}$$
$$\frac{(c − a)(c − b)}{(c + a)(c + b)}\le 17 − 12\sqrt{2}$$