Answer:
x = 4
Step-by-step explanation:
ΔTRQ is an isosceles right triangle, so if we find the value of RT then the value of 'x' will be the same
We can find RT by creating a proportion based on the ratio of sides in a 30-60-90° triangle which, respectively, is 1 : [tex]\sqrt{3}[/tex] : 2
2[tex]\sqrt{3}[/tex]/RT = [tex]\sqrt{3}[/tex]/2
cross-multiply:
[tex]\sqrt{3}[/tex]· RT = 4[tex]\sqrt{3}[/tex]
RT = 4
Therefore, x = 4
