2. The area of ∆ABC is 32 square cm. AD is median and E is the midpoint of AD. Find the area of ∆BED
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Given,
=> Ar(BED) = 1/2 Ar(ABD)
or,
=> 2 Ar(BED) = Ar(ABD)
Now,
=> Ar(ABD) = 1/2 Ar(ABC)
=> 2 x Ar(BED) = 1/2 Ar(ABC)
=> Ar(BED) = 1/4 Ar(ABC)
=> Ar(BED) = 1/4 x 32 cm^2
=> Ar(BED) = 8 cm^2
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=> Ar(BED) = 1/2 Ar(ABD)
or,
=> 2 Ar(BED) = Ar(ABD)
Now,
=> Ar(ABD) = 1/2 Ar(ABC)
=> 2 x Ar(BED) = 1/2 Ar(ABC)
=> Ar(BED) = 1/4 Ar(ABC)
=> Ar(BED) = 1/4 x 32 cm^2
=> Ar(BED) = 8 cm^2
Be Brainly
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