Answer:
Step-by-step explanation:
By the geometric mean theorem,
[tex]GE=\sqrt{12 \cdot 6}=6\sqrt{2}[/tex]
So by the Pythagorean theorem,
[tex]x=\sqrt{12^{2}-(6\sqrt{2})^{2}}=6\sqrt{2}[/tex]
[tex]y=\sqrt{6^{2}+(6\sqrt{2})^{2}}=6\sqrt{3}[/tex]
