Q : 2        In Fig. \small 9.30, D and E are two points on BC such that  \small BD=DE=EC. Show that  \small ar(ABD)=ar(ADE)=ar(AEC).

    

Answers (1)

In \DeltaABC, D and E are two points on BC such that BD = DE = EC

AD is the median of ABE, therefore,

area of ABD= area of AED...................(1)

AE is the median of ACD, therefore,

area of AEC= area of AED...................(2)

From (1) and (2)

area of ABD=area of AED= area of AEC
Hence proved

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