Question

in triangle ABC, MN parallel BC and M is the mid point of AB and N is on AC of length 7cm.find the length of CN​

Answer 1

Answer: 13.5 cm

Step-by-step explanation:IN ΔAMN ΔABC

Since MN∣∣BC

∠AMN=∠ABC (Corresponding angles)

∠ANM=∠ACB (Corresponding angles)

∴ΔAMN∼ΔABC(By $$AA similarity criterion)

⇒  

AB

AM

​  

=  

AC

AN

​  

=  

BC

MN

​  

(CPST)

Since, M is mid-point of AB,

AM=  

2

1

​  

AB,or,  

AB

AM

​  

=  

2

1

​  

 

or,  

AB

AM

​  

=  

AC

AN

​  

=  

2

1

​  

 

AC

AN

​  

=  

2

1

​  

 

5

AN

​  

=  

2

1

​  

[∵AC=5cm]

AN=  

2

5

​  

cm=2.5cm

Also,  

AB

AM

​  

=  

BC

MN

​  

=  

2

1

​  

 

7

MN

​  

=  

2

1

​  

[∵BC=7cm]

MN=  

2

7

​  

=3.5

Ans=AN=2.5cm and MN=3.5cm

Answer 2

Answer:

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Step-by-step explanation:

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