toanvitmishra toanvitmishra

22-03-2020
Mathematics

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Calculate JK if LJ=45, JM=60 and LM=75

Calculate JK if LJ45 JM60 and LM75 class=

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kenlingdad kenlingdad

22-03-2020

Answer:

JK = 20

Step-by-step explanation:

Angle Bisector Theorem: an angle bisector of a triangle divide the opposite side into two segments that are proportional to the other two sides of the triangle

LK / JK = LM / JM

(45 - JK) / JK = 75 / 60 = 5 / 4

5 JK = 4 (45 - JK)

5 JK = 180 - 4 JK

9 JK = 180

JK = 20

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