This is a 45-90-45 triangle so in order to find the answer we have to multiply the hypotenuse, 6, by the square root of 2 or radical 2. Then multiply top and bottom by radical 2. Then simplify.
[tex] \frac{6}{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } = \frac{6 \sqrt{2} }{2} = 3 \sqrt{2} [/tex]