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Sagot :

9514 1404 393

Answer:

  LJ = 14

Step-by-step explanation:

The angle bisector divides corresponding triangle segments proportionally.

  LJ/LK = JM/KM

  (x+3)/8 = (x-4)/4

  x +3 = 2(x -4) . . . . . . multiply by 8

  11 = x . . . . . . . . . . . . . add 8-x, simplify

Then the length LJ is ...

  LJ = x+3 = 11 +3

  LJ = 14