If the length of GU is 18 units, what is the length of GZ? Show all your calculations and unit measurements.

1 answer

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.