Answer: 11.5
Step-by-step explanation:
We know that the Pythagoras theorem says that the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Let a be the unknown side .
Applying Pythagorean theorem , then we have
[tex](14)^2=(8)^2+a^2\\\\\Rightarrow\ a^2=(14)^2-(8)^2\\\\\Rightarrow\ a^2=196-64\\\\\Rightarrow\ a=\sqrt{132}=11.4891252931\approx11.5[/tex]
Hence, the length of the unknown side =11.5