Answer:
Step-by-step explanation:
In this right triangle geometry, all of the triangles are similar. Here, each one is a 30°-60°-90° triangle, so the side lengths have the ratios 1 : √3 : 2.
The marked side (27) is a middle-length side, so x will be 2/√3 times its length.
x = (2/√3)(27)
x = 18√3
The side labeled y is the short side of the triangle whose middle length is x, so y = x/√3.
y = 18√3/√3
y = 18
And z is half the length of y:
z = 9
