Question

Find the missing side lengths. Leave your answers as radicals in simplest form. Show your work to support your answer ​

Answer 1

x=2 and y=2√2

Explanation:

`\sin( \alpha ) = (2 √(2) )/(x ) \\ x = (2 √(2) )/( \sin(45) ) \\ x = 4 \\ {x}^(2) = {y}^(2) + 2 √(2) \\ {4}^(2) = {y}^(2) + (2 √(2 \: ))^(2) \\ 16 = {y}^(2) + 8 \\ 16 - 8 = {y}^(2) \\ y = √(8) \\ y = 2 √(2)`