Multiple choice

If a right angled $\triangle ABC$ of maximum area is inscribed within a circle of radius $R$, then

$\Delta =2{ R }^{ 2 }$
$\displaystyle \frac { 1 }{ { r }_{ 1 } } +\frac { 1 }{ { r }_{ 2 } } +\frac { 1 }{ { r }_{ 3 } } =\frac { \sqrt { 2 } +1 }{ R } $
$r=\left( \sqrt { 2 } -1 \right) R$
$s=\left( 1+\sqrt { 2 } \right) R$

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