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Answer :

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.