Question

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

Answer 1

Answer:

$\sf \boxed{\bf y =5\sqrt{22}}$

Step-by-step explanation:

45° - 45° - 90° triangle:

       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

  $\sf = 5\sqrt{11} * \sqrt{2}\\\\ = 5*\sqrt{11*2}\\\\ = 5\sqrt{22}$