Use the pythagorean theorem. So 4^2 + 7^2 = 10^2. Simplify to 16+49=100. This simplifies to 65=100 which is not true so these sides cannot make a triangle.
use 
to get 
then use
and 
also, 
to get 
then again use the first identity In both pairs, i.e.

to get 
multiply and divide by 4 to get the RHS.
because, 
squaring both sides, 
4x7=28
6x2=12
3-28+7-12
-25+7-12
-25+(-5)
(-30)
The third option is ordered least to greatest