Find \(x\)

4 3 x
\begin{align}3^2+4^2 & = x^2\\ \sqrt{25} & =x\\ So \quad x & =5 \end{align}
8 x 10
\begin{align}x^2+8^2 & = 10^2\\ x^2 & =100-64\\ x & =\sqrt{36}\\ So \quad x & =6 \end{align}
x 10.5 17.5
\begin{align}10.5^2+x^2 & = 17.5^2\\ x^2 & = 17.5^2-10.5^2\\ x & = \sqrt{196} \\ So \quad x & =14 \end{align}
12√2 9√2 x
\begin{align}\\(9\sqrt{2})^2+(12\sqrt{2})^2 & = x^2\\ x^2 & =162+288\\ x & = \sqrt{450}\\ So \quad x & =15\sqrt{2} \end{align}