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Math Help - Parallelogram

  1. #1
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    Parallelogram

    Attachment 20019 ABC is a isosceles triangle and DE is its central segment (I guess that's how you call it ); ADCF is parallelogram. DE = EF and AC is 10.

    I was told to draw another segments from D to C and from B to F.

    Attachment 20020

    I have to find area of BDCF. I believe, that BDCF is a rectangle, even though my painting skills are very bad

    So we have AC = 10, DE = 5, because DE= 2/AC. Find area of BDCF. My thoughts:

    Hypotenuse DF of this BDCF quadrangular = 10. So we get a triangle- DCF where C is straight angle. I thought DBE and EFC were parallel, so CF is aswell 5. The answer I got is 50, but it seems I missunderstood something.. ;\

    Answer: 25\sqrt{3}
    Last edited by Ellla; December 8th 2010 at 07:09 AM. Reason: Solved
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