Respuesta :

Answer:

24 unit

Step-by-step explanation:

From the question,

JK = 2×NK.................... Equation 1

Using pythagoras theorem,

a² = b²+ c²................. Equation 2

From the diagram,

a = 15 unit, b = 9 unit, and c = NK

Substitute these values into equation 2

15² = 9²+(NK)²

Solve for NK

225 = 81+(NK)²

(NK)² = 225-81

(NK)²  = 144

NK = [tex]\sqrt{144}[/tex]

NK = 12 unit.

Substitute these value of NK into equation 1

JK = 2×12

JK = 24 Unit.