Answer:
[tex]x = 6[/tex]
[tex]y=3\sqrt{2}[/tex]
Step-by-step explanation:
So, this triangle is a 45-45-90 triangle.
This special triangle's values for the base and the height are equal, so y, the base, is equal to the height, [tex]3\sqrt{2}[/tex].
The hypotenuse, x, is equal to the base or height, multiplied by [tex]\sqrt{2}[/tex].
So, [tex]3\sqrt{2}[/tex] x [tex]\sqrt{2}[/tex] is equal to 3 x [tex]\sqrt{2}[/tex] x [tex]\sqrt{2}[/tex].
[tex]\sqrt{2}[/tex] x [tex]\sqrt{2}[/tex] is equal to 2.
Finally, 3 x 2 = 6
x = 6, y = 3√2
