If the length of GU is 18 units, what is the length of GZ? Show all your calculations and unit measurements.
To find the length of GZ, we can use the Pythagorean theorem since the triangle is a right triangle.
Let's consider the right triangle GZU, where GU is the hypotenuse and GZ is one of the legs.
According to the Pythagorean theorem:
(GU)^2 = (GZ)^2 + (UZ)^2
(18)^2 = (GZ)^2 + (9)^2
324 = (GZ)^2 + 81
(GZ)^2 = 243
GZ = sqrt(243)
GZ = 15.59 units
Therefore, the length of GZ is approximately 15.59 units.