Answer:
x = [tex]11\sqrt{2}[/tex]
y = [tex]11\sqrt{2}[/tex]
Step-by-step explanation:
the ratio of the sides of a 45 - 45 - 90 triangle is shown at the bottom of this answer.
as you can see, it is x:x:[tex]x\sqrt{2}[/tex]
The side given is x[tex]\sqrt{2}[/tex], so you have:
[tex]x\sqrt{2}=22[/tex]
divide both sides by [tex]\sqrt{2}[/tex]
x = [tex]22/\sqrt{2}[/tex]
multiply this by [tex]\sqrt{2} /\sqrt{2}[/tex]
[tex]x = 22\sqrt{2}/2[/tex]
[tex]x=11\sqrt{2}[/tex]
y is also equal so y = [tex]11\sqrt{2}[/tex]
