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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: Find the lenght of AC
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matsci (0)

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ABCD is a square .F is the mid point of AB.BE is one third of BC    .If the area of triangle FBE=108cm^2,then find the length of AC.

    
roopa1991 (7)

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AB=BF/2=AF/2


BE=BC/3


ar(FBE)=1/2(BF)(BE)


108=1/2(AB/2)(BC/3)


(36)(36)=a^2


a=36


Therefore,AC=36(ROOT2)


 


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shinee (227)

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how is AB=BF/2=AF/2
AB/2=BF=AF

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krish1092 (477)

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@shinee,in the question itself it is mentioned that F is midpoint of AB.So AB=BF/2=AF/2
and BF=AF=2AB
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roopa1991 (7)

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I think my answer is correct.Please check it and tell me if i am wrong.


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rudra.panda (2155)

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area of =








God does not care about our mathematical difficulties. He integrates empirically. ~~~Albert Einstein (1879-1955)~~~~
To divide a cube into two other cubes, a fourth power or in general any power whatever into two powers of the same denomination above the second is impossible, and I have assuredly found an admirable proof of this, but the margin is too narrow to contain it.~~~Pierre de Fermat (1601-1665)~~~
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shinee (227)

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If F is the mid point of AB, then AB/2=BF=AF, AB=2BF=2AF
Ab should be twice of BF and AF

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rudra.panda (2155)

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" If F is the mid point of AB, then AB/2=BF=AF, AB=2BF=2AF
Ab should be twice of BF and AF"


Yes what is the problem??

God does not care about our mathematical difficulties. He integrates empirically. ~~~Albert Einstein (1879-1955)~~~~
To divide a cube into two other cubes, a fourth power or in general any power whatever into two powers of the same denomination above the second is impossible, and I have assuredly found an admirable proof of this, but the margin is too narrow to contain it.~~~Pierre de Fermat (1601-1665)~~~
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shinee (227)

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@rudra, once see wat krish1097 has written

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rudra.panda (2155)

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What do you want to say?????

AB/2=BF=AF, AB=2BF=2AF this is correct. What is the problem?

God does not care about our mathematical difficulties. He integrates empirically. ~~~Albert Einstein (1879-1955)~~~~
To divide a cube into two other cubes, a fourth power or in general any power whatever into two powers of the same denomination above the second is impossible, and I have assuredly found an admirable proof of this, but the margin is too narrow to contain it.~~~Pierre de Fermat (1601-1665)~~~
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