Question

E is any point on median AD of a triangle ABC show that ar(ABE)=ar(ACE)

Answer 1

hello ☺



Given :

AD is a median of ABC and E is any point on AD.

To prove :

ar (ABE) = ar (ACE)

Proof :  

AD is the median of ABC

 ar (ABD) = ar (ACD) ...(1)            

aED is median of EBC

 ar (BED) = ar (CED) ...(2)


Subtracting (2) from (1)

ar (ABD) – ar (BED) = ar (ACD) – ar (CED)

 ar (ABC) = ar (ACE).

Hence Proved.


Thank you

Answer 2

Hi friend..
See the attached files


I hope it will help you
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