Given the Right Triangle shown in the picture, you can find the missing side length "x" by applying the Pythagorean Theorem. This states that:
[tex]c^2=a^2+b^2[/tex]
Where "c" is the hypotenuse (the longest side), and "a" and "b" are the legs of the Right Triangle.
In this case, you can set up that:
[tex]\begin{gathered} c=10 \\ a=6 \\ b=x \end{gathered}[/tex]
Then, substituting values into the formula and solving for "x", you get:
[tex]\begin{gathered} 10^2=6^2+x^2 \\ 100=36+x^2 \\ 100-36=x^2 \end{gathered}[/tex][tex]\begin{gathered} 64=x^2 \\ \sqrt[]{64}=x \\ x=8 \end{gathered}[/tex]
Hence, the answer is:
[tex]x=8[/tex]
