Answer:
x = 8.1
Step-by-step explanation:
By geometric mean theorem:
[tex] {y}^{2} = 5 \times 12 \\ \\ \implies \: {y}^{2} = 60 \\ \\ now \: by \: pythagoras \: theorem \\ {x}^{2} = {y}^{2} + {5}^{2} \\ \\ \implies \: {x}^{2} = 60 + 5 \\ \\ \implies \: {x}^{2} = 65\\ \\ \implies \: x = \pm \sqrt{65} \\ \\ \implies \: x = \pm 8.06225775\\ \\ \implies \: x \approx \pm 8.1 \\ \\ x \: can \: not \: be \: negative \: \\ \\ \implies \: x = 8.1[/tex]
