Math, asked by arorarushil8gmailcom, 1 year ago

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Answered by Anonymous
1
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Answered by suvamtalukder2002
0
AD is the median of ∆ABC. Therefore, it will divide ∆ABC into two triangles of equal area.

therefore, Area (∆ABD) = Area(∆ACD)

=> Area (∆ABD) = (1/2) area (∆ABC) _________(1)

In ∆ABD, E is the midpoint of AD.

Therefore, BE is the median.

=> Area(∆BED) = (1/2) Area(∆ABD)

=> Area(∆BED) = (1/2)×(1/2) Area (∆ABC) [From (1)]

=> Area(∆BED) = (1/4) Area(∆ABC)

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