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Math Help - find x in this rectangle

  1. #1
    Junior Member
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    very easy

    in a Rectangle
    distance AE= 14 m , DE=4 m, CE=12 M
    find BE=X=?
    Last edited by mr fantastic; April 4th 2009 at 03:05 PM. Reason: Question was edit-wrecked by OP. Question restored and thread closed.
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  2. #2
    MHF Contributor red_dog's Avatar
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    Let EM\perp AD, \ EN\perp DC, \ EP\perp BC, \ EQ\perp AB

    EM=a, \ EN=b, \ EP=c, \ EQ=d

    Then,

    a^2+b^2=16 (1)

    b^2+c^2=144 (2)

    c^2+d^2=x^2 (3)

    d^2+a^2=196 (4)

    (1)+(3) \Rightarrow a^2+b^2+c^2+d^2=x^2+16

    (2)+(4) \Rightarrow a^2+b^2+c^2+d^2=340

    \Rightarrow x^2+16=340\Rightarrow x^2=324\Rightarrow x=18
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  3. #3
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    yes it is right, x=18 i have solved this today at school. thanks however .
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