Answer:
[tex]3\sqrt2[/tex]
Step-by-step explanation:
The formula for the area of a triangle is [tex]A=\dfrac12 bh[/tex].
Therefore, if we plug in the values, we get the following answer:
[tex]A=\dfrac12\times\sqrt6\times\sqrt{12}=\dfrac{\sqrt{72}}{2}=\dfrac{\sqrt{6^2\times2}}{2}=\dfrac{6\sqrt2}{2}=\boxed{3\sqrt2}[/tex]
