Answer
5.33
Work Step by Step
In order to use Heron's Formula we have to find the semiperimeter:
$s=\frac{1}{2}(a+b+c)$
$s=\frac{1}{2}(3+4+6)$
$s=\frac{1}{2}*13$
$s=\frac{13}{2}$
We can use Heron's Formula from here:
$A=\sqrt{s(s-a)(s-b)(s-c)}$
$A=\sqrt{\frac{13}{2}(\frac{13}{2}-3)(\frac{13}{2}-4)(\frac{13}{2}-6)}$
$A=\sqrt{\frac{13}{2}*\frac{7}{2}*\frac{5}{2}*\frac{1}{2}}$
$A=\sqrt{\frac{455}{16}}$
$A=\frac{\sqrt{455}}{4}$
$A\approx 5.33$
