Question

Please explain urgent! Brainly to anyone who can answer!

Answer 1

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)