Answer:
x = 11[tex]\sqrt{3}[/tex]
y = 33
Step-by-step explanation:
this triangle is a 30-60-90 and has side lengths, respectively, in the ratio of 1 : [tex]\sqrt{3}[/tex] : 2
to find 'y' we can use this proportion:
2÷22[tex]\sqrt{3}[/tex] = [tex]\sqrt{3}[/tex]÷y
cross-multiply to get:
2y = 22(3)
2y = 66
y = 33
to find 'x' we can use this proportion:
1÷x = 2÷22[tex]\sqrt{3}[/tex]
cross-multiply to get:
2x = 22[tex]\sqrt{3}[/tex]
x = 11[tex]\sqrt{3}[/tex]
