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lesantik [10]
2 years ago
10

Please explain urgent! Brainly to anyone who can answer!

Mathematics
1 answer:
Wittaler [7]2 years ago
7 0

Answer:

  • JK ≈ 6.86 units

Step-by-step explanation:

According to the diagram MK is the angle bisector of  ∠LMJ in the triangle LMJ.

Use angle bisector theorem, which states:

  • <em>an angle bisector of an angle of a triangle divides the opposite side into two parts that are proportional to the other two sides of the triangle.</em>

<em />

Applied to the given triangle, the ratios are:

  • LK/JK = LM/JM

Use segment addition postulate and substitute known values to get:

  • (LJ - JK)/JK = LM/JM
  • (14 - JK)/JK = 50/48
  • 50JK = 48(14 - JK)
  • 50JK = 672 - 48JK
  • 50JK + 48JK = 672
  • 98JK = 672
  • JK = 672/98
  • JK = 6.86 (rounded)

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