In the diagram shown, ∆ JKN ~

Answered question

2022-05-09

In the diagram shown, ∆ JKN ~ ∆ NKM ~ ∆ MKL.


 


Part A: What is the length of ?

Answer & Explanation

nick1337

nick1337

Expert2022-05-18Added 777 answers

Given :

JKN~NKM~MKL

JN=3 , ML=4 and KL=8

Here given that ∆JKN~∆MKLJKN~MKL

If two triangle are similar then ratio of their corresponding sides are equal. Therefore ,

NJLM=NKLK

 

Substitute the value of NJ , LM and LK in above equation,

34=NK8NK=34×8 =6 

 

Thus , the value of NK is 6 units

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