if a triangle abc,e is the mid point of median ad.show that ar(BED)=1/4 AR (abc).
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given,AD is median.Therefore area of triangle ABD=Area of triangle ADC.
=1/2(area ofABC)
since AE=ED,BE IS median of triangle ABD.
therefore area of BED=Area of ABE.
area of BED=1/2(Ar of ABD)
=1/2(1/2 Area of(ABC))
=1/4(area of ABC)
=1/2(area ofABC)
since AE=ED,BE IS median of triangle ABD.
therefore area of BED=Area of ABE.
area of BED=1/2(Ar of ABD)
=1/2(1/2 Area of(ABC))
=1/4(area of ABC)
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hey here is your proof in above pics
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