what is y? i am having trouble figuring out what y is

Answer:
[tex]\sf \boxed{\bf y =5\sqrt{22}}[/tex]
Step-by-step explanation:
The ratio of sides of 45 - 45 - 90 triangle is a : a : a√2.
a is the side opposite to 45°.
From the figure, a = 5√11
The side opposite to 90° is a√2.
y = a√2
[tex]\sf = 5\sqrt{11} * \sqrt{2}\\\\ = 5*\sqrt{11*2}\\\\ = 5\sqrt{22}[/tex]