Apply the Pythagorean Theorem to find the value of each missing variable. Express your answer in simplest radical form.

hello to solve this question, we can take the two triangles apart and then solve the individual missing part
let's solve for triangle a
to solve for x, let's use pythagorean theorem
[tex]\begin{gathered} x^2=9^2+5^2 \\ x^2=81+25 \\ x^2=106 \\ \text{take the square root of both sides} \\ x=\sqrt[]{106} \\ x=10.295\approx10.3 \end{gathered}[/tex]let's solve for right-angle triangle b
[tex]\begin{gathered} y^2=5^2+3^2^{} \\ y^2=25+9 \\ y^2=34 \\ \text{take the squre root of both sides} \\ y=\sqrt[]{34} \\ y=5.83 \end{gathered}[/tex]from the calculation above, the value of x and y is 10.30 and 5.83 respectively