Solve for x. Round to two decimal places if necessary.

Answer:
Length of JK is 68.27 units.
Step-by-step explanation:
By applying geometric mean theorem (leg theorem) in the triangle attached,
[tex]\frac{KL}{KM}= \frac{JK}{KL}[/tex]
(KL)² = (KM)(JK)
(32)² = (15)(x)
x = [tex]\frac{1024}{15}[/tex]
x = 68.2666
x ≈ 68.27
Therefore, length of JK is 68.27 units.