Hi!
y = 16
x = 32
In 30-60-90 triangles, the hypotenuse is double the length of the shortest leg, and the longer leg is [tex]\sqrt{3}[/tex] times the shorter leg.
We are given the longest leg. To find the shortest leg, we must divide the longest leg value by [tex]\sqrt{3}[/tex]
[tex]\cfrac{16\sqrt{3} }{\sqrt{3} }[/tex]
The radicals cancel out and we are left with 16.
The length of y (the shortest leg) is 16.
Now, we also know that the hypotenuse is double the shortest leg. The shortest leg is 16, so if we double that, it's 32.
