Question

D is the midpoint of side BC of triangle ABC and e is the midpoint of the median ad prove that area of triangle b e d is equal to 1 by 4 into area of triangle ABC ​

Answer 1

Answer:

In triangle BED and ABD

angleD=angle D( common)

DE/AD=BD/BC

or DE/2DE=BD/2DC ( D and E are midpoints)

by SAS similarity triangle BED and ABD

ar(BED)/ar(ABC)= DE/AD square

"" , , ,,,,,. =DE/2DE square

then,=1/4

ar(BED)=1/4arABC proved

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