As you wisely noticed, since we have a right angle triangle, in order to find the length of one of the legs, we need to use Pythagoras:
[tex]x=\sqrt[]{13^2-11^2}=\sqrt[]{48}[/tex]
Since 48 is NOT a perfect square, the answer will give you an irrational number with decimal form including an infinite number of decimal values:
[tex]x\approx6.92820323\ldots[/tex]
In order to round the answer we got to a HUNDREDTH we need to include TWO decimals for the answer.
then we round this value to:
x = 6.93
