Answer
$2\sqrt2$ (or 2.83) $cm^2$
Work Step by Step
$s=1/2*(a+b+c)$
$s=1/2*(2+3+3)$
$s=1/2(8)$
$s=4$
$A=\sqrt {s*(s-a)(s-b)(s-c)}$
$A=\sqrt {4*(4-2)(4-3)(4-3)}$
$A=\sqrt {4*(2)(1)(1)}$
$A=\sqrt {4*2}$
$A=2\sqrt {2}$
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