Question

13. In the given Fig. E is any point on the median AD of a triangle ABC, Show the
ar (ABE)=ar(ACE)​

Answer 1

Step-by-step explanation:

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).