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Question

In the given figure AD is median of Δ ABC, DE is median of Δ ABD and EF is median of Δ BED. If area of Δ BEF is 4 cm2, then area of Δ ABC is


A

8 cm2

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B

16 cm2

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C

32 cm2

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D

64 cm2

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Solution

The correct option is C

32 cm2


We know that median divides a triangle into two triangles of equal area.

Area Δ BED =2 area Δ BEF=2(4)=8 cm2

Area Δ BAD=2 area Δ BED=2(8)=16 cm2

Area Δ ABC=2 area Δ BAD=2(16)=32 cm2

Hence (C)


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