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Math Help - SAT Prep

  1. #1
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    SAT Prep

    SAT problem solving practice test 01




    10. In the figure above AD = 4, AB = 3 and CD = 9. What is the area of triangle AEC ?
    A. 18
    B. 13.5
    C. 9
    D. 4.5
    E. 3


    you can go to the site above for an image it would not paste into here and the program wouldnt allow me to add a photo saved from the site

    the answer is 4.5 but i cannot for the life of me recall how to do this.
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  2. #2
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    Re: SAT Prep

    Triangles ABE and CDE are similar, which allows finding AE/ED and therefore AE and ED.
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  3. #3
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    Re: SAT Prep

    can you go into depth a little further I thought they were similar but still having trouble finding an answer
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  4. #4
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    Re: SAT Prep

    From similarity, AB / CD = AE / ED = 1 / 3. Since AE + ED = 4, it follows that AE = 1 and ED = 3. (Formally, ED = 3AE and you solve the equation AE + 3AE = 4.)
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