Find \(x\)

12 5 x
\begin{align}5^2+12^2 & = x^2\\ \sqrt{169} & =x\\ So \quad x & =13 \end{align}
36 x 39
\begin{align}x^2+36^2 & = 39^2\\ x^2 & =39^2-36^2\\ x & =\sqrt{225}\\ So \quad x & =15 \end{align}
x 12.5 32.5
\begin{align}12.5^2+x^2 & = 32.5^2\\ x^2 & = 32.5^2-12.5^2\\ x & = \sqrt{900} \\ So \quad x & =30 \end{align}
24√5 10√5 x
\begin{align}(10\sqrt{5})^2+(24\sqrt{5})^2 & = x^2\\ x^2 & =500+2880\\ x & = \sqrt{3380}\\ So \quad x & =26\sqrt{5} \end{align}