Question

Find the missing side lengths. Leave your answer as radicals in simplest form.

Answer 1

$\sqrt{2$Answer:

Step-by-step explanation:

take 45 degree as reference angle

use sin rule

sin 45=opposite/hypotenuse

1/$\sqrt{2$=x/2$\sqrt{2$

do cross multiplication

x$\sqrt{2$=$\sqrt{2$ *$\sqrt{2$

x$\sqrt{2$=2

x=2/$\sqrt{2$

x=$\sqrt{2$

pythagoras theorem

a^2+b^2=c^2

($\sqrt{2$ )^2+y^2=(2$\sqrt{2$ )^2

2+y^2=8

y^2=8-2

y=$\sqrt{6$