2 years ago

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:

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.

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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