Let x be the missing side. Since we have a right triangle, we can apply Pythagorean theorem:
[tex]x^2+8^2=10^2[/tex]
Remember that the hypotenuse (10 in our case) is always in front of the right angle. Then, from the last result, we have
[tex]x^2+64=100[/tex]
By subtracting 64 to both sides, we get
[tex]x^2=36[/tex]
then x is given by
[tex]\begin{gathered} x=\sqrt[]{36} \\ x=6 \end{gathered}[/tex]
Therefore, the answer is: 6
