Use special right triangles to solve for all the variables. Leave your answers in simplest radical form.

Answer:
Step-by-step explanation:
x=5[tex]\sqrt{2}[/tex] because it is an isosceles right triangle , as we have and angle of 45 and one of 90
y is the hypothenuse of the triangle
y^2=(5[tex]\sqrt{2}[/tex])^2+(5[tex]\sqrt{2}[/tex])^2=50+50=100
y=10
the larger triangle is 30-60-90
side opposite of 90 degrees is 2y
r=20
side opposite of 60 degrees is y[tex]\sqrt{3}[/tex]
z=10[tex]\sqrt{3}[/tex]