Question

Find the value of x and y. ( ANSWER NEEDS TO BE IN REDUCED RADICAL FORM )

Answer 1

Part 1)
`y=6\ units`

Part 2)
`x=3\ units`

Explanation:

see the attached figure with letters to better understand the problem

In the right triangle ABE

we have that

AE=BE

so

Is a 45°-90°-45° triangle

`cos(45\°)=(√(2))/(2)`

`cos(45\°)=(3√(2))/(y)`

so

`(√(2))/(2)=(3√(2))/(y)`

`y=6\ units`

In the right triangle EBC

we have that

Is a 45°-90°-45° triangle

`sin(45\°)=(√(2))/(2)`

`sin(45\°)=(x)/(3√(2))`

`(x)/(3√(2))=(√(2))/(2)`

`x=3\ units`