MENU
Question -

In a ΔABC, BM and CN are perpendiculars from B and C respectively on any line passing through A. If L is the mid-point of BC, prove that ML = NL.



Answer -

In  , BM and CN are perpendiculars on any line passing through A.
Also.
 
 
We need to prove that  
From point L let us draw  
It is given that   and  
Therefore,
 
Since, L is the mid points of BC,
Therefore intercepts made by these parallel lines on MN will also be equal
Thus,
 
Now in ,
 
And  . Thus, perpendicular bisects the opposite sides.
Therefore,  is isosceles.
Hence  
Hence proved.

Comment(S)

Show all Coment

Leave a Comment

Free - Previous Years Question Papers
Any questions? Ask us!
×