Question

Use the given figure to find the length of x

Answer 1

${(x + 6)}^{2} = {x}^{2} + {12}^{2} \\ \Leftrightarrow {x}^{2} + 12x + 36 = {x}^{2} + 144 \\ \Leftrightarrow 12x = 108 \Leftrightarrow x = 9$