Answer:
7
Step-by-step explanation:
Since this is a right triangle, we are going to use pythagorean theorem
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
Where a and b are the legs and c are the hypotenuse.
Let plug it in.
[tex] {6}^{2} + {y}^{2} = { \sqrt{85} }^{2} [/tex]
[tex]36 + {y}^{2} = 85[/tex]
[tex]y {}^{2} = 49[/tex]
[tex]y = \sqrt{49 } [/tex]
[tex]y = 7[/tex]
