Geometry

While it may not seem the most important, let's calculate the semiperimeter. We get $\frac{3+4+6}{2}=\frac{13}{2}$

The reaon why we must find the semiperimeter is because we can use Heron's Formula. 

It states that the area is $\sqrt{s(s-a)(s-b)(s-c)}$ where s is the semiperimeter and a,b, and c are the sidelengths. 

Applying this, we get $Area = \sqrt{\frac{13}{2}(\frac{13}{2}-3)(\frac{13}{2}-4)(\frac{13}{2}-6)}$

$Area = \sqrt{\frac{455}{16}}=\frac{\sqrt{455}}{4}$

This rounds to about $5.3327$

Thanks! :)