Question

in a triangle ABC,E is the midpoint of median AD.Show that ar BED=1/4 ar ABC

Answer 1

In tri.ABC
ABD=ACD-------------(1)
In tri. abd,BE is the median
Abe=bed-------------(2)
now,
ABD=BED
=2(BED)-----------(3)
ABC=ABD+ACD
ABC=2(ABD)-----using(1)
ABC=2*2(BED)----using(3)
ABC=4(BED)
so, (BED)=1/4(ABC)
got it bro..

Answer 2

Hi friend

Here is your answer

See the attached files

I hope it will help you

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