Math, asked by meiteinaoba2, 2 months ago

Prove that the straight line joining the mid-points of the oblique sides of a
trapezium is parallel to each of the parallel sides. draw the figure also​

Answers

Answered by sai0921
0

Answer:

Answer

Here, AB∣∣DC

M and N are the mid points of sides AD and BC respectively.  

MN is joined.  

To prove : MN∣∣AB or DC.  

 

Produce AD and BC to meet at P.  

Now,  In △PAB

DC∣∣AB  

 

DA

PD

​  

=  

CB

PC

​  

 

 

2PM

PD

​  

=  

2CN

PC

​  

 

 

M and N are midpoints of AD and BC respectively.  

 

PM

PD

​  

=  

CN

PC

​  

 

 

MN∣∣DC But DC∣∣AB  

Therefore, MN∣∣DC∣∣AB

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