AD is median of triangle ABC and DE is median of triangle ABD. The ratio of area triangle BED : area triangle ABC

1 : 2

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1 : 3

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1 : 4

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1 : 8

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A B C, E

A D

a r e a (B E D) = \frac{1}{4} a r e a (A B C)

In a triangle ABC, E is the mid-point of median AD. Show that ar (BED) = ar (ABC)

AD is the median of △ ABC and DE is the median of △ ABD. If area of △ BED : area of △ ABC =_____.

A D

△ A B C

P

A C

Area (△ A D P) : Area (△ A B D) = 2 : 3

Area (△ P D C) : Area (△ A B C) = 1 : a

a

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